Question 1

Which of the following sets of ordered pairs does NOT represent a function?

Accepted Answer

$$\{(0, -4), (3, 3), (3, -8), (-8, 0), (-3, 10)\}$$

Question 2

Given the graph below, which statement is true about whether it represents a function?

Accepted Answer

It does not represent a function because it fails the vertical line test.

Question 3

Find the value of $$f(7)$$ for the piecewise function graphed below.

Accepted Answer

$$5$$

Question 4

What is the domain of the function defined by the set $$\{(0, -3), (10, 9), (-3, -4), (-1, -8)\}$$?

Accepted Answer

$$\{-3, -1, 0, 10\}$$

Question 5

Determine the range of the function defined by the set $$\{(-3, -2), (-2, 0), (0, 6), (1, -7)\}.$$

Accepted Answer

$$\{-7, -2, 0, 6\}$$

Question 6

What is the range of the following graph?

Accepted Answer

$$[-2, 6]$$

Question 7

Factor the quadratic $$x^2 + 2x - 15$.

Accepted Answer

$$(x-3)(x+5)$$

Question 8

Find the $$x-$$intercepts of the graph of $$8x^2 + 2x - 20 = 0$.

Accepted Answer

$$x = -1.75,\ x = 1.43$$

Question 9

Given $$f(x) = 3x - x^2$, express the value of f(2x+1$$)$$ in simplest form.

Accepted Answer

$$-4x^2 + 2x + 2$

Question 10

What is the slope of the line that passes through the points $$(11, 3)$$ and $$(3, -5)$$?

Accepted Answer

$$-4$$

Question 11

Which of the following is the equation of a line in slope-intercept form that passes through $$(1, 7)$$ and has a slope of $$-2$$?

Accepted Answer

$$y = -2x + 9$$

Question 12

Given the function $$f(x) = x^2$ - 6x$$, find the value of $$f(-6).$$

Accepted Answer

$$-72$$

Question 13

For the function $$f(x) = x - \sqrt{9-x^2$}$$, what is the domain?

Accepted Answer

$$[-3, 3]$$

Question 14

Which of the following is a correct factorization of $$5x^2 + 11x + 2$?

Accepted Answer

$$(5x+1)(x+2)$$

Question 15

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

Accepted Answer

$$4$$

Question 16

Which of the following best describes the range of the function graphed below, which has a minimum at $$y = -8$$ and a maximum at $$y = 10$$?

Accepted Answer

$$[-8, 10]$$

Question 17

If a graph passes the vertical line test, what does this indicate?

Accepted Answer

The graph represents a function.

Question 18

Given the function $$f(x) = 3x - x^2$, what is the value of f(-2$$)$$?

Accepted Answer

$$-10$$

Question 19

Which of the following is the correct equation for the line passing through $$(5, -3)$$ and $$(3, 5)$$?

Accepted Answer

$$y = -4x + 17$$

Precalculus Functions, Graphs, and Algebra Review – Guided Study Notes

Study Guide - Practice Questions