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

$$(0, 4)$$

Question 3

If a function $$f(x)$$ has a range of $$(-6, 6)$$, which of the following statements is true?

Accepted Answer

The function's output values are between -6 and 6, but do not include -6 or 6.

Question 4

Which of the following is the $$x-$$intercept of the function $$f(x) = 2x - 4$$?

Accepted Answer

$$(2, 0)$$

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 value of $$f(-2)$$?

Accepted Answer

$$2$$

Question 6

Which interval describes where the function $$f(x) is $$positive, given the graph crosses the $$x-$$axis at $$x = -3$$ and $$x = 2$$ and is above the $$x-$$axis between these points?

Accepted Answer

$$(-3, 2)$$

Question 7

A function $$f(x) is $$defined by the table below:

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

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

Accepted Answer

$$(0, 2)$$

Question 8

Which of the following best describes the $$y-$$intercept of a function?

Accepted Answer

The point where the graph crosses the $$y-$$axis.

Question 9

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

Accepted Answer

$$(1, 0)$$ and (3, 0)$

Question 10

If a function $$f(x) is $$increasing on $$(-\infty, 0)$$ and decreasing on $$(0, \infty)$$, what can you conclude about $$x=0$$?

Accepted Answer

$$x=0 is a $$maximum point.

Question 11

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

Accepted Answer

$$(-\infty, 2]$$

Question 12

Which of the following is NOT a function?

Accepted Answer

$$x = y^2$

Question 13

Given the graph of $$f(x)$$ passes through $$(0, 3)$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, 3)$$

Question 14

If $$f(x) is $$negative on $$(-\infty, -2)$$ and positive on $$(-2, \infty)$$, what is the $$x-$$intercept?

Accepted Answer

$$x = -2$$

Question 15

A function $$f(x) is $$defined as $$f(x) = \begin{cases} 2x+1 & x \u003c 1 \ -x+4 & x \geq 1 \end{cases}. $$What is $$f(1)$$?

Accepted Answer

$$5$$

Question 16

Which of the following intervals describes where $$f(x) is $$negative if $$f(x)$$ crosses the $$x-$$axis at $$x = -1$$ and $$x = 3$$ and is below the $$x-$$axis between these points?

Accepted Answer

$$(-1, 3)$$

Question 17

Given the table:

$$x$$: $$-3$$, $$-1$$, $$1$$, $$3$$
$$f(x)$$: $$2$$, $$0$$, $$-2$$, $$-4$$

What is the interval where $$f(x) is $$positive?

Accepted Answer

$$(-3, -1)$$

Question 18

If a function $$f(x) is $$defined for all real numbers and $$f(x) is $$always increasing, which of the following is true?

Accepted Answer

The function is one-to-one.

Question 19

Given $$f(x) = x^2$ - 4$$, what is the range of $$f(x)$$?

Accepted Answer

$$[-4, \infty)$$

A4

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