Question 1

Which of the following intervals represents all real numbers greater than or equal to $$-2$$ and less than $$5$$?

Accepted Answer

$$[-2, 5)$$

Question 2

Given the function $$f(x) = x^2$ - 3x + 5$$, what is $$f(-2)$$?

Accepted Answer

Question 3

Which of the following graphs does NOT represent a function?

Accepted Answer

A graph where a vertical line crosses the curve at two points

Question 4

If $$f(x) = 9x + 1$$, what is $$f(-9)$$?

Accepted Answer

$$-80$$

Question 5

Which of the following is the correct set-builder notation for the interval $$(-\infty, 3]$$?

Accepted Answer

$$\{x \mid x \leq 3\}$$

Question 6

A store sells 12 packages containing a total of 162 razor blades and took in $$\55$. If each package contains either 12 or 18 blades, and the 12-blade package costs $$\$$3$$, while the 18-blade package costs $$\5$, how many packages of each type were sold?

Accepted Answer

7 packages of 12 blades and 5 packages of 18 blades

Question 7

Which of the following equations defines $$y as a $$function of $$x$$?

Accepted Answer

$$y = \sqrt{x - 4}$$

Question 8

Given the function $$f(x) = \sqrt{x^2$ + 7} - 4$$, what is $$f(-7)$$?

Accepted Answer

$$f(-7) = 2$$

Question 9

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

Accepted Answer

$$[2, \infty)$$

Question 10

If $$A = \{1, 2, 3, 4\}$$ and $$B = \{3, 4, 5, 6\}$$, what is $$A \cap B$$?

Accepted Answer

$$\{3, 4\}$$

Question 11

Which of the following is the correct interval notation for all real numbers less than or equal to $$-1$$?

Accepted Answer

$$(-\infty, -1]$$

Question 12

Given the function $$f(x) = |x - 2|$$, what is $$f(5)$$?

Accepted Answer

$$3$$

Question 13

Which of the following best describes the range of the function $$f(x) = 4 - x^2$?

Accepted Answer

$$(-\infty, 4]$$

Question 14

If $$f(x) = 3x + 5$$, what is $$f(-1)$$?

Accepted Answer

Question 15

Which of the following is the correct simplification of $$3(x + 5)^2$?

Accepted Answer

Question 16

A relation is given by the set $$\{(1, 2), (2, 3), (3, 4), (4, 5)\}. $$What is the domain of this relation?

Accepted Answer

$$\{1, 2, 3, 4\}$$

Question 17

Given the equation $$y = |x - 2|$$, what is the $$y-$$intercept?

Accepted Answer

$$2$$

Question 18

If $$f(x) = x^2$ - 3x + 5$$, what is $$f(0)$$?

Accepted Answer

$$5$$

Question 19

Which of the following is the correct interval notation for all real numbers greater than $$-4$$ and less than or equal to $$2$$?

Accepted Answer

$$(-4, 2]$$

Question 20

Given the function $$f(x) = x^2$ - 3x + 5$$, what is the range of $$f(x)$$?

Accepted Answer

$$[\frac{7}{4}, \infty)$$

College Algebra: Functions, Graphs, and Set Notation Study Guide

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