Question 1

Which of the following best describes the domain of the function $$f(x) = \sqrt{x-2}$$?

Accepted Answer

$$[2, \infty)$$

Question 2

Given the graph of a function $$f(x)$$, which interval represents where $$f(x) is $$decreasing?

Accepted Answer

Where the graph moves downward as $$x$$ increases

Question 3

If $$f(x) is $$defined by the table below, what is the range of $$f(x)$$?

$$x$$: $$-2, -1, 0, 1, 2$$
$$f(x)$$: $$4, 1, 0, 1, 4$$

Accepted Answer

$$\{0, 1, 4\}$$

Question 4

Which of the following equations does NOT represent $$y as a $$function of $$x$$?

Accepted Answer

$$x = y^2$ + 1$$

Question 5

Given the piecewise function

$$ f(x) = \begin{cases} 2x+3 & x \u003c -2 \ -\frac{1}{2}x+1 & x \geq -2 \end{cases} $$

What is the $$y-$$intercept?

Accepted Answer

$$(0, 1)$$

Question 6

For the function $$f(x) = x^2$ - 4x + 3$$, what is the $$x-$$intercept(s)?

Accepted Answer

$$x = 1$$ and $$x = 3$$

Question 7

A function $$f(x) is $$positive on which interval if its graph is above the $$x-$$axis for $$x in$$ $$(2, 5)$$?

Accepted Answer

$$(2, 5)$$

Question 8

Given the function $$f(x) = -x^2$ + 4$$, on which interval is $$f(x)$$ increasing?

Accepted Answer

$$(-\infty, 2)$$

Question 9

Which of the following best describes the range of the function $$f(x) = 2x + 1$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 10

Suppose $$f(x) is $$defined as $$f(x) = \begin{cases} x+2 & x \u003c 0 \ -x+2 & x \geq 0 \end{cases}. $$What is the domain of $$f(x)$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 11

Given the graph of a function $$f(x)$$, which of the following intervals describes where $$f(x) is $$negative?

Accepted Answer

Where the graph is below the $$x-$$axis

Question 12

If $$f(x) is $$increasing on $$(-\infty, 1)$$ and decreasing on $$(1, \infty)$$, what is $$x=1$$?

Accepted Answer

A local maximum

Question 13

Which of the following statements is TRUE about the $$y-$$intercept of a function $$f(x)$$?

Accepted Answer

It is the value of $$f(x)$$ when $$x = 0$$

Question 14

Given the function $$f(x) = \begin{cases} x^2$ & x \u003c 1 \ 2x-1 & x \geq 1 \end{cases}$$, what is $$f(2)$$?

Accepted Answer

$$3$$

Question 15

A real-world scenario: The height $$h (in $$meters) of a ball thrown upward is given by $$h(t) = -5t^2$ + 20t + 2. $$For what interval of $$t is $$the ball above 12 meters?

Accepted Answer

$$t \in (0.5, 3.5)$$

Question 16

Given the function $$f(x) = x^2$ - 4$$, for which values of $$x is$$ $$f(x)$$ negative?

Accepted Answer

$$-2 \u003c x \u003c 2$$

Question 17

If a function $$f(x)$$ has domain $$(-\infty, 3)$$ and range $$[0, \infty)$$, which of the following could be its equation?

Accepted Answer

$$f(x) = \sqrt{3-x}$$

Question 18

Which of the following best describes the interval notation for all real numbers except $$x = 2$$?

Accepted Answer

$$(-\infty, 2) \cup (2, \infty)$$

Question 19

Suppose $$f(x) is $$defined by the table:

$$x$$: $$-1, 0, 1, 2$$
$$f(x)$$: $$3, 0, -1, 2

On $$which interval is $$f(x)$$ increasing?

Accepted Answer

$$(1, 2)$$

Question 20

Given the piecewise function $$f(x) = \begin{cases} 2x+1 & x \u003c 0 \ -x+3 & x \geq 0 \end{cases}$$, what is the $$x-$$intercept?

Accepted Answer

$$x = -0.5$$

A4

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