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Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Graph the following function.

$\displaystyle f(x)=e^x$

Screen shot 2016 01 13 at 1.38.39 pm

Screen shot 2016 01 13 at 1.39.34 pm

Screen shot 2016 01 13 at 1.38.57 pm

Screen shot 2016 01 13 at 1.39.13 pm

Screen shot 2016 01 13 at 1.37.23 pm

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All Common Core: High School - Functions Resources

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Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Graph the following function.

$\displaystyle f(x)=e^x$

Screen shot 2016 01 13 at 1.38.39 pm

Screen shot 2016 01 13 at 1.39.34 pm

Screen shot 2016 01 13 at 1.38.57 pm

Screen shot 2016 01 13 at 1.39.13 pm

Screen shot 2016 01 13 at 1.37.23 pm

Report an Error Copyright Notice

Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Graph the following function.

$\displaystyle f(x)=e^x$

Your answer:

Screen shot 2016 01 13 at 1.38.39 pm

Your answer:

Screen shot 2016 01 13 at 1.39.34 pm

Your answer:

Screen shot 2016 01 13 at 1.38.57 pm

Your answer:

Screen shot 2016 01 13 at 1.39.13 pm

Correct answer:

Screen shot 2016 01 13 at 1.37.23 pm

Explanation:

This question is testing one's ability to graph exponential functions.

For the purpose of Common Core Standards, "graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude." falls within the Cluster C of "Analyze Functions Using Different Representations" concept (CCSS.MATH.CONTENT.HSF-IF.C.7).

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 the $\displaystyle y$-intercept.

Recall that $\displaystyle e$ is just a constant,

$e\approx2.718$ $\displaystyle e\approx2.718$

and any constant raised to zero equals one.

$\\f(x)=e^x \\f(0)=e^0 \\f(0)=1$ $\displaystyle \\f(x)=e^x \\f(0)=e^0 \\f(0)=1$

Therefore the $\displaystyle y$-intercept occurs at the point (0,1) $\displaystyle (0,1)$

Step 2: Graph the function using technology and plot the $\displaystyle y$-intercept.

Screen shot 2016 01 13 at 1.37.23 pm

Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Graph the function.

$f(x)=2\ln(x)$ $\displaystyle f(x)=2\ln(x)$

Screen shot 2016 01 13 at 1.39.13 pm

Screen shot 2016 01 13 at 1.38.57 pm

Question2

Question3

Screen shot 2016 01 13 at 1.39.34 pm

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Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Graph the function.

$f(x)=2\ln(x)$ $\displaystyle f(x)=2\ln(x)$

Your answer:

Screen shot 2016 01 13 at 1.39.13 pm

Your answer:

Screen shot 2016 01 13 at 1.38.57 pm

Your answer:

Question2

Your answer:

Screen shot 2016 01 13 at 1.39.34 pm

Correct answer:

Question3

Explanation:

This question is testing one's ability to graph exponential functions.

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 any intercepts.

Recall that the natural log cannot be less than zero and it has a x-intercept of one.

$\ln(1)=0$ $\displaystyle \ln(1)=0$

Also recall that the natural log and $\displaystyle e$ cancel each other out which results in,

$\\\ln(e)=1 \\\ln(2.718)=1$ $\displaystyle \\\ln(e)=1 \\\ln(2.718)=1$

Since the function is,

$f(x)=2\ln(x)$ $\displaystyle f(x)=2\ln(x)$

a table can be created to find the function values.

$\begin{tabular}{ c c } x & f(x) \\ \hline 1& 0 \\ 2& 1.386\\ 4&2.773\\ 5&3.219 \end{tabular}$ $\displaystyle \begin{tabular}{ c c } x & f(x) \\ \hline 1& 0 \\ 2& 1.386\\ 4&2.773\\ 5&3.219 \end{tabular}$

Step 2: Graph the function using technology and plot the intercept.

Question3

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Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

All Common Core: High School - Functions Resources

Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

Flashcards: Graph Exponential, Logarithmic, and Trigonometric Functions: CCSS.Math.Content.HSF-IF.C.7e

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