Question 1

Which of the following is the correct definition of a function?

Accepted Answer

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

Question 2

Given the function $f(x) = 2x^2 - 3x + 5$, what is $f(-2)$?

Accepted Answer

$f(-2) = 19$

Question 3

Which of the following graphs represents a one-to-one function?

Accepted Answer

A graph that passes both the vertical and horizontal line tests.

Question 4

If $g(x) = \sqrt{x-4}$, what is the domain of $g(x)$?

Accepted Answer

$x \geq 4$

Question 5

A population of bacteria doubles every 3 hours. If the initial population is 500, which equation models the population $P$ after $t$ hours?

Accepted Answer

$P = 500 \cdot 2^{t/3}$

Question 6

Which of the following is the inverse of the function $f(x) = 3x + 7$?

Accepted Answer

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

Question 7

Which of the following is the correct formula for the sum of a geometric series with first term $a$ and ratio $r$ ($r 
eq 1$) for $n$ terms?

Accepted Answer

$S_n = a \frac{1 - r^n}{1 - r}$

Question 8

A ball is thrown upward with an initial velocity of 40 m/s from a height of 2 m. Its height $h$ after $t$ seconds is given by $h(t) = -4.9t^2 + 40t + 2$. What is the maximum height reached by the ball?

Accepted Answer

$h_{max} = 327$ m

Question 9

Which of the following is the correct expression for the composition $(f \circ g)(x)$ if $f(x) = x^2$ and $g(x) = 2x + 1$?

Accepted Answer

$(f \circ g)(x) = (2x + 1)^2$

Question 10

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

Accepted Answer

$x = 32$

Question 11

If $f(x) = \frac{1}{x-3}$, which value of $x$ makes $f(x)$ undefined?

Accepted Answer

$x = 3$

Question 12

Which of the following is the correct formula for the vertex of the parabola $y = ax^2 + bx + c$?

Accepted Answer

$x = -\frac{b}{2a}$

Question 13

A car's value depreciates by 15% each year. If the initial value is $V_0$, which equation models the value $V$ after $t$ years?

Accepted Answer

$V = V_0 \cdot (0.85)^t$

Question 14

Which of the following is the correct solution to the quadratic equation $x^2 - 6x + 9 = 0$?

Accepted Answer

$x = 3$

Question 15

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

Accepted Answer

$(f + g)(x) = x^3 + x + 2$

Question 16

Which of the following is the correct formula for the compound interest after $t$ years, with principal $P$, annual rate $r$, and $n$ compounding periods per year?

Accepted Answer

$A = P \left(1 + \frac{r}{n}\right)^{nt}$

Question 17

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

Accepted Answer

$x = 4$

Question 18

If $f(x) = x^2$ and $g(x) = 4x$, what is $(f \circ g)(2)$?

Accepted Answer

$(f \circ g)(2) = 64$

Question 19

Which of the following is the correct solution to $|3x - 7| = 5$?

Accepted Answer

$x = 4$ or $x = \frac{2}{3}$

Precalculus Syllabus and Course Overview – Bellevue College MATH 141 (Winter 2026)

Study Guide - Practice Questions

Study Guide - Flashcards