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)

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