### All Precalculus Resources

## Example Questions

### Example Question #1 : Graphing Functions

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?

**Possible Answers:**

Straight line passing through the point

Straight line passing through the point

Parabola opening up passing through the point

Curved line passing through the point

**Correct answer:**

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 #2 : Graphing Functions

What is the y-intercept of the following equation?

**Possible Answers:**

**Correct answer:**

The y-intercept can by found by solving the equation when x=0. Thus,

### Example Question #3 : Graphing Functions

Determine the y intercept of , where .

**Possible Answers:**

**Correct answer:**

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 #1 : Graphing Functions

What is the -intercept of the function,

?

**Possible Answers:**

**Correct answer:**

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 #1 : Graphing Functions

What is the value of the -intercept of ?

**Possible Answers:**

The graph does not have a -intercept

**Correct answer:**

To find the -intercept we need to find the cooresponding value when . Therefore, we substitute in and solve:

### Example Question #1 : Symmetry

If , what kind of symmetry does the function have?

**Possible Answers:**

Even Symmetry

Symmetry across the line y=x

Odd Symmetry

No Symmetry

**Correct answer:**

Even Symmetry

The definition of even symmetry is if

### Example Question #1 : Symmetry

If , what kind of symmetry does have?

**Possible Answers:**

Symmetry across the line y=x

Even symmetry

Odd symmetry

No symmetry

**Correct answer:**

Odd symmetry

is the definition of odd symmetry

### Example Question #2 : Graphing Functions

**Possible Answers:**

**Correct answer:**

The angles are supplementary, therefore, the sum of the angles must equal .

### Example Question #1 : Angles

Are and supplementary angles?

**Possible Answers:**

Yes

No

Not enough information

**Correct answer:**

Yes

Since supplementary angles must add up to , the given angles are indeed supplementary.

### Example Question #1 : Angles

**Possible Answers:**

**Correct answer:**

The angles containing the variable all reside along one line, therefore, their sum must be .

Because and are opposite angles, they must be equal.