Question 1

Which of the following is the correct solution to the equation $$x^2 - 5x + 6 = 0$?

Accepted Answer

$$x = 2$$ and $$x = 3$$

Question 2

If $$f(x) = 2x^2$ - 3x + 1$$, what is $$f(-2)$$?

Accepted Answer

$$f(-2) = 15$$

Question 3

Which of the following is the domain of the function $$f(x) = \dfrac{1}{x-4}$$?

Accepted Answer

$$x 
eq 4$$

Question 4

Given $$g(x) = x^2$ + 2x + 1$$, which of the following is the vertex of the parabola?

Accepted Answer

$$(-1, 0)$$

Question 5

If $$h(x) = \sqrt{x-3}$$, what is the domain of $$h(x)$$?

Accepted Answer

$$x \geq 3$$

Question 6

Which of the following is the inverse of the function $$f(x) = 3x + 2$$?

Accepted Answer

$$f^{-1}(x$$) = \dfrac{x-2}{3}$$

Question 7

A ball is thrown upward with an initial velocity of $$20 m/s $$from a height of $$2 m. $$Its height after $$t$$ seconds is given by $$h(t) = -4.9t^2$ + 20t + 2. $$What is the maximum height reached by the ball?

Accepted Answer

$$24.4 m$$

Question 8

Which of the following is the solution set for $$|2x - 5| = 7$$?

Accepted Answer

$$x = 6$$ and $$x = -1$$

Question 9

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

Accepted Answer

$$9$$

Question 10

Which of the following is the range of the function $$f(x) = \dfrac{1}{x}$$?

Accepted Answer

$$y 
eq 0$$

Question 11

A population of bacteria doubles every hour. If the initial population is $$100$$, what will the population be after $$5$$ hours?

Accepted Answer

$$1600$$

Question 12

Which of the following is the solution to the system of equations: $$\begin{cases} x + y = 5 \ x - y = 1 \end{cases}$$?

Accepted Answer

$$(x, y) = (3, 2)$$

Question 13

Which of the following is the equation of a circle with center $$(2, -3)$$ and radius $$5$$?

Accepted Answer

$$(x - 2)^2$ + (y + 3)^2$ = 25$$

Question 14

If $$f(x) = \dfrac{2x}{x+1}$$, what is the horizontal asymptote of $$f(x)$$?

Accepted Answer

$$y = 1$$

Question 15

Which of the following is the solution to $$\log_2$(x) = 5$$?

Accepted Answer

$$x = 32$$

Question 16

A car's value depreciates by $$15\%$$ each year. If the car is worth $$\20$$,000$$ now, what will its value be after 3$ years?

Accepted Answer

$$\12$$,250$

Question 17

Which of the following is the solution to $$2^{x+1} = 16$?

Accepted Answer

$$x = 3$$

Question 18

If $$f(x) = x^2$ - 4x + 3$$, for which value of $$x$$ does $$f(x) = 0$$?

Accepted Answer

$$x = 1$$ and $$x = 3$$

Question 19

Which of the following is the solution to $$\sin(x) = 0.5$$ for $$0 \leq x \u003c 2\pi$$?

Accepted Answer

$$x = \dfrac{\pi}{6}$$ and $$x = \dfrac{5\pi}{6}$$

Precalculus Study Guide: Functions, Graphs, and Transformations

Study Guide - Practice Questions

Study Guide - Flashcards