Question 1

Which of the following best defines a function?

Accepted Answer

A relation where each input is paired with exactly one output.

Question 2

Given $$f(x) = \frac{x^2$ + 9x}{2x + 10}$$, what is the domain of $$f(x)$$?

Accepted Answer

$$x 
eq -5$$

Question 3

Solve for $$x in $$the equation $$2x = x^7$ + 5x^4$ - 6$$ for $$x$$ between $$-10$$ and $$10. $$Which of the following is an approximate solution?

Accepted Answer

$$x \approx 1.13$$

Question 4

Given the points $$(-2, 1)$$ and $$(3, -5)$$, what is the equation of the line passing through these points in slope-intercept form?

Accepted Answer

$$y = -1.2x - 1.4$$

Question 5

What is the exact distance between the points $$(-2, 1)$$ and $$(3, -5)$$?

Accepted Answer

$$\sqrt{61}$$

Question 6

Given $$f(x) = x^2$ - 8x + 1$$ and $$g(x) = 3x + 5$$, find $$f(-3). $$

Accepted Answer

$$52$$

Question 7

Given $$f(x) = x^2$ - 8x + 1$$ and $$g(x) = 3x + 5$$, what is $$(f+g)(x)$$?

Accepted Answer

$$x^2 - 5x + 6$

Question 8

Given $$f(x) = x^2$ - 8x + 1$$ and $$g(x) = 3x + 5$$, find $$(f-g)(2).$$

Accepted Answer

$$-20$$

Question 9

What are the coordinates of the $$y-$$intercept of $$f(x) = x^2$ - 8x + 1$$?

Accepted Answer

$$(0, 1)$$

Question 10

Solve $$|\frac{1}{2}x + 1| = 9.$$

Accepted Answer

$$x = 16 or$$ $$x = -20$$

Question 11

Solve the inequality $$3 - 2(x - 11) \geq 15.$$

Accepted Answer

$$x \leq -1$$

Question 12

Solve the system: $$y - 2x = 1$$ and $$y + x = 5.$$

Accepted Answer

$$x = 1.33, y = 3.67$$

Question 13

Refer to the provided graph. Is the degree of the function even or odd?

Accepted Answer

Odd

Question 14

Refer to the provided graph. What is the ordered pair of the local maximum?

Accepted Answer

$$(-1.23, 2.11)$$

Question 15

Refer to the provided graph. What is the ordered pair of the local minimum?

Accepted Answer

$$(0.55, -0.63)$$

Question 16

Refer to the provided graph. On which interval is the function increasing?

Accepted Answer

$$(-\infty, -1.23)$$ and $$(0.55, \infty)$$

Question 17

Refer to the provided graph. On which interval is the function decreasing?

Accepted Answer

$$(-1.23, 0.55)$$

Question 18

Refer to the provided graph. For which interval is $$f(x) \u003c 0$$?

Accepted Answer

$$(0, 1)$$

Question 19

Which transformation has been applied to $$f(x) = x^2$ to obtain g(x$$) = $$2(x-5)^2 + 1$?

Accepted Answer

Shift right 5 units, vertical stretch by 2, shift up 1 unit

Precalculus Practice Exam 1 – Step-by-Step Study Guidance

Study Guide - Practice Questions