Question 1

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

Accepted Answer

$$(-4, 5)$$

Question 2

Given the equation $$y = 2x - 5$$, what is the $$y-$$intercept of the graph?

Accepted Answer

$$(0, -5)$$

Question 3

What is the slope of the line passing through the points $$(1, 2)$$ and $$(4, 8)$$?

Accepted Answer

$$m = \frac{8-2}{4-1} = 2$$

Question 4

Which of the following equations represents a vertical line?

Accepted Answer

$$x = 3$$

Question 5

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f + g)(x$$)$$?

Accepted Answer

$$x^2 + x + 1$

Question 6

What is the domain of the function $$f(x) = \sqrt{x-2}$$?

Accepted Answer

$$[2, \infty)$$

Question 7

Which transformation is represented by $$f(x) 	o f(x-3) + 2$$?

Accepted Answer

Shift right 3 units and up 2 units

Question 8

Given $$f(x) = x^2$ and g(x$$) = \sqrt{x}$$, what is the domain of (f$$ \circ g)(x)$$?

Accepted Answer

$$[0, \infty)$$

Question 9

Which of the following is NOT a function?

Accepted Answer

$$x^2$$ + $$y^2 = 9$

Question 10

A line has the equation $$y = -\frac{1}{2}x + 4. $$What is the slope of a line perpendicular to it?

Accepted Answer

$$2$$

Question 11

If $$f(x) = 3x - 7$$, what is $$f^{-1}(x$$)$$, the inverse function?

Accepted Answer

$$f^{-1}(x$$) = \frac{x+7}{3}$$

Question 12

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

Accepted Answer

$$25$$

Question 13

Which of the following best describes the range of $$f(x) = |x|$$?

Accepted Answer

$$[0, \infty)$$

Question 14

If $$f(x) = x^2$ and g(x) = x - 1$, what is (f - g)(x$$)$$?

Accepted Answer

$$x^2 - x - 1$

Question 15

What is the equation of the line in point-slope form that passes through $$(2, -3)$$ with slope $$4$$?

Accepted Answer

$$y + 3 = 4(x - 2)$$

Question 16

Which of the following describes a vertical stretch by a factor of $$3 of $$the function $$f(x)$$?

Accepted Answer

$$3f(x)$$

Question 17

Given $$f(x) = \sqrt{x+1}$$, what is the domain of $$f(x)$$?

Accepted Answer

$$[-1, \infty)$$

Question 18

If $$f(x) = x^2$ and g(x) = x + 1$, what is (f$$ \cdot g)(x)$$?

Accepted Answer

$$x^2(x + 1$$)$$

Question 19

Which of the following is the correct interval notation for the set $$\{x | -4 \leq x \u003c 5\}$$?

Accepted Answer

$$[-4, 5)$$

Question 20

If $$f(x) = x^2$ and g(x$$) = \sqrt{x-3}$$, what is the domain of (g$$ \circ f)(x)$$?

Accepted Answer

$$(-\infty, -\sqrt{3}] \cup [\sqrt{3}, \infty)$$

Graphs and Functions: Study Guide for Precalculus

Study Guide - Practice Questions