Question 1

Which of the following points is located in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-3, 5)$$

Question 2

Given the function $$f(x) = 3x + 1$$, what is the value of $$x if$$ $$f(x) = 7$$?

Accepted Answer

$$x = 2$$

Question 3

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

Accepted Answer

$$x^2$$ + $$y^2 = 4$

Question 4

What is the $$y-$$intercept of the line given by $$2x - 3y = 12$$?

Accepted Answer

$$(0, -4)$$

Question 5

A business property loan is modeled by $$y = 76,500 - 1275x$$, where $$x is $$the number of monthly payments. What does the $$x-$$intercept represent in this context?

Accepted Answer

The number of months to pay off the loan

Question 6

Which of the following graphs passes the vertical line test and represents a function?

Accepted Answer

$$y = x^2$

Question 7

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

Accepted Answer

$$2x^2 + 3x$

Question 8

For the function $$f(x) = \sqrt{4 + 3x}$$, what is the domain?

Accepted Answer

$$x \geq -\frac{4}{3}$$

Question 9

Which of the following describes an even function?

Accepted Answer

$$f(-x) = f(x)$$ for all x$

Question 10

Given the points $$A(-3, 5)$$ and $$B(2, -4)$$, what is the slope of the line passing through them?

Accepted Answer

$$m = \frac{9}{5}$$

Question 11

Which of the following is the equation of a vertical line passing through $$(3, -2)$$?

Accepted Answer

$$x = 3$$

Question 12

If $$f(x) = x^2$ + 3x - 17$$, what is the domain of $$f$$?

Accepted Answer

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

Question 13

Given $$f(x) = 2x^2$ - x + 3$$, what is the difference quotient $$\frac{f(x+h) - f(x)}{h}$$?

Accepted Answer

$$4xh + 2h^2$ - h$$

Question 14

Which of the following lines is perpendicular to the line $$y = 2x + 1$$?

Accepted Answer

$$y = -\frac{1}{2}x + 3$$

Question 15

The average rate of change of $$f(x) = x^3$ from x_1$ = 1 to$$ $$x_2 = 2$ is:

Accepted Answer

$$7$$

Question 16

Which transformation results in the graph of $$y = f(x) + 3$$ from $$y = f(x)$$?

Accepted Answer

A vertical shift up by 3 units

Question 17

Given $$f(x) = 3x - 4$$ and $$g(x) = x^2$ - 2x + 6$$, what is $$(g \circ f)(1)$$?

Accepted Answer

$$g(f(1)) = 4$$

Question 18

Which of the following is the standard form of the equation of a circle with center $$(-1, 0)$$ and radius $$3$$?

Accepted Answer

$$(x + 1)^2$ + y^2$ = 9$$

Question 19

If $$f(x) is an $$odd function, which of the following must be true?

Accepted Answer

$$f(-x) = -f(x)$$

Functions and Graphs: Foundations of Precalculus

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