Question 1

Which of the following statements correctly describes the domain of the function shown in the first image?

Accepted Answer

$$[-\pi, \pi]$$

Question 2

Using the first image, what is the value of $$f\left(\frac{\pi}{2}\right)$$?

Accepted Answer

$$1$$

Question 3

For the function in the first image, for which value(s) of $$x$$ does $$f(x) = -1$$?

Accepted Answer

$$x = -\frac{\pi}{2}$$

Question 4

Given $$f(x) = x^2$ + 2x - 63$$, what are the $$x-$$intercepts of the function?

Accepted Answer

$$x = -9$$ and $$x = 7$$

Question 5

Given $$f(x) = x^2$ + 2x - 63$$, what is the $$y-$$intercept?

Accepted Answer

$$-63$$

Question 6

Which of the following best describes the symmetry of the function shown in the second image?

Accepted Answer

Even, because it is symmetric with respect to the $$y-$$axis.

Question 7

Test the function $$f(x) = x^3$ - 5x$$ for parity. Which statement is correct?

Accepted Answer

The function is odd because $$f(-x) = -f(x).$$

Question 8

For the function in the third image, on which interval is the function increasing?

Accepted Answer

$$(-3, -2)$$ and $$(0, 2)$$

Question 9

For the function in the third image, at which $$x-$$value does the function have a local minimum?

Accepted Answer

$$x = -3$$

Question 10

For the function in the third image, what is the local minimum value?

Accepted Answer

$$-2$$

Question 11

Does the function in the third image have an absolute maximum? If so, what is the highest $$y-$$value?

Accepted Answer

$$2$$

Question 12

Find the average rate of change for $$f(x) = 2x^2$ from x = 1$ to x = 3$.

Accepted Answer

$$8$$

Question 13

What is the slope of the secant line containing the points $$(1, f(1))$$ and $$(3, f(3))$$ for $$f(x) = 2x^2$?

Accepted Answer

$$8$$

Question 14

Find the average rate of change for $$f(x) = x^2$ - 2x$$ from $$x = 1 to$$ $$x.$$

Accepted Answer

Question 15

Which of the following is NOT a valid method for determining if a graph represents a function?

Accepted Answer

Checking if every $$y-$$value has exactly one $$x-$$value.

Question 16

A real-world scenario: The height $$h (in $$meters) of a ball thrown upward is modeled by $$h(t) = -4.9t^2$ + 20t + 1.5. $$What is the average rate of change of height from $$t = 0 to$$ $$t = 2$$ seconds?

Accepted Answer

$$5.45$$ meters/second

Chapter 2.2-2.3

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