All Common Core: High School - Functions Resources
Example Questions
Example Question #1 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the following graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The red lines in the below graph represent the slope.
The rise is three units up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #2 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The red lines in the below graph represent the slope.
The rise is two units up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #3 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is one unit up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #4 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is three units up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #5 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is two units up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #6 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is four units up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #7 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is one unit up and the run is two units to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #8 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is one unit up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #9 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is three units up and the run is one unit to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
Example Question #10 : Construct Linear And Exponential Functions, Arithmetic And Geometric Sequences: Ccss.Math.Content.Hsf Le.A.2
What is the function that describes the graph?
This question is testing one's ability to identify and construct an algebraic function given a graph.
For the purpose of Common Core Standards, "Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table)." falls within the Cluster A of "Construct and compare linear, quadratic, and exponential models and solve problems" concept (CCSS.MATH.CONTENT.HSF-LE.A.2).
Knowing the standard and the concept for which it relates to, we can now do the step-by-step process to solve the problem in question.
Step 1: Identify -intercept.
Recall that the -intercept is the point at which the line crosses the
-axis. In other words, it is at the point where
.
Step 2: Identify the slope.
Recall that slope is known as rise over run or the change in the y values over the change in x values.
The rise is one unit up and the run is two units to the right.
Step 3: Construct the equation using the slope-intercept form of a linear function.
The slope-intercept form of a linear function is,
.
Substitute the slope and intercept into the general form to construct this particular function.
All Common Core: High School - Functions Resources
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