Question 1

Which of the following best describes the relation shown in the table where time (in seconds) is paired with height (in meters) for a rock thrown on the Moon?

Accepted Answer

A numerical description of a relation

Question 2

Given the relation $$\{(0, 3), (-1, 4), (0, 5), (3, 0)\}$$, what is the domain of the relation?

Accepted Answer

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

Question 3

Which of the following relations is NOT a function?

Accepted Answer

$$\{(-5, 1), (-2, 2), (3, 3), (2, -2), (-5, -3)\}$$

Question 4

Given the function $$f(x) = x^2$ - 2x + 1$$, what is $$f(-1)$$?

Accepted Answer

$$4$$

Question 5

What is the domain of the function $$f(x) = \sqrt{x - 5}$$?

Accepted Answer

$$[5, \infty)$$

Question 6

For the function $$f(x) = \frac{x+3}{x+4}$$, which value is NOT in the domain?

Accepted Answer

$$x = -4$$

Question 7

If $$f(x) = \sqrt{x+2}$$, what is $$f(2)$$?

Accepted Answer

$$2$$

Question 8

Which of the following equations does NOT represent a function?

Accepted Answer

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

Question 9

Given the graph of $$y = x^2$, which of the following statements is true?

Accepted Answer

The graph passes the vertical line test and is a function.

Question 10

Which parent function does $$g(x) = 2x^2$ - 1$$ belong to?

Accepted Answer

$$f(x) = x^2$

Question 11

If $$f(x) = |x| + 5$$, how is the graph of $$f(x)$$ related to its parent function?

Accepted Answer

It is shifted 5 units up.

Question 12

Which transformation results in a reflection of the graph of $$y = f(x)$$ over the y-axis?

Accepted Answer

$$y = f(-x)$$

Question 13

For the function $$f(x) = \frac{x}{x+6}$$, what value must be excluded from the domain?

Accepted Answer

$$x = -6$$

Question 14

Given the graph of $$y = x^2$ - 4$$, what is the range of the function?

Accepted Answer

$$[-4, \infty)$$

Question 15

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

Accepted Answer

$$-22$$

Question 16

Which of the following is the correct domain for the parent function $$f(x) = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 17

A function $$f is $$said to be increasing on an interval $$I if$$:

Accepted Answer

As $$x$$ increases, $$y$$ increases.

Question 18

Which of the following is the equation of a circle centered at the origin with radius 1?

Accepted Answer

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

Question 19

If $$f(x) = \frac{x+2}{x-4}$$, what is the value of $$f(6)$$?

Accepted Answer

$$\frac{8}{2} or 4$

Question 20

Which of the following best describes the transformation from $$f(x) = x^2$ to g(x$$) = $$(x-3)^2 + 2$?

Accepted Answer

Shift right 3 units and up 2 units

College Algebra: Functions – Relations, Graphs, and Transformations

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