All Precalculus Resources
Example Questions
Example Question #1 : Graphs
Information about the Hardy Weinberg equation: http://www.nature.com/scitable/definition/hardy-weinberg-equation-299
The Hardy Weinberg equation is a very important concept in population genetics. Suppose we have two "alleles" for a specific trait (like eye color, gender, etc..) The proportion for which allele is present is given by and
Then by Hardy-Weinberg:
, where both
and
are non-negative.
Which statement discribes the graph that would appropriately represents the above relation?
Parabola opening up passing through the point
Curved line passing through the point
Straight line passing through the point
Straight line passing through the point
Straight line passing through the point
The equation can be reduced by taking the square root of both sides.
As a simple test, all other values when substituted into the original equation fail. However, works. Therefore
is our answer.
Example Question #1 : Graphing Functions
What is the y-intercept of the following equation?
The y-intercept can by found by solving the equation when x=0. Thus,
Example Question #2 : Graphing Functions
Determine the y intercept of , where
.
In order to determine the y-intercept of , set
Solving for y, when x is equal to zero provides you with the y coordinate for the intercept. Thus the y-intercept is .
Example Question #2 : Graphing Functions
What is the -intercept of the function,
?
To find the -intercept we need to find the cooresponding
value when
.
Substituting into our function we get the following:
Therefore, our -intercept is
.
Example Question #4 : Graphing Functions
What is the value of the -intercept of
?
The graph does not have a -intercept
To find the -intercept we need to find the cooresponding
value when
. Therefore, we substitute in
and solve:
Example Question #1 : Graphing Functions
If , what kind of symmetry does the function
have?
Symmetry across the line y=x
Even Symmetry
No Symmetry
Odd Symmetry
Even Symmetry
The definition of even symmetry is if
Example Question #1 : Graphing Functions
If , what kind of symmetry does
have?
Odd symmetry
Even symmetry
No symmetry
Symmetry across the line y=x
Odd symmetry
is the definition of odd symmetry
Example Question #2 : Angles
The angles are supplementary, therefore, the sum of the angles must equal .
Example Question #3 : Angles
Are and
supplementary angles?
Yes
No
Not enough information
Yes
Since supplementary angles must add up to , the given angles are indeed supplementary.
Example Question #1 : Angles
The angles containing the variable all reside along one line, therefore, their sum must be
.
Because and
are opposite angles, they must be equal.
Certified Tutor
All Precalculus Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)