Question 1

Which of the following best describes the primary purpose of a precalculus course in a college curriculum?

Accepted Answer

To prepare students for calculus by developing their understanding of functions, graphs, and algebraic manipulation.

Question 2

A pharmaceutical company models the concentration of a drug in the bloodstream over time with the function $$C(t) = 20e$$^{-0.3t}$$, where t$ is in hours. What is the initial concentration of the drug?

Accepted Answer

$$20$$

Question 3

Which of the following is the correct definition of an even function?

Accepted Answer

A function $$f$$ such that $$f(x) = f(-x)$$ for all $$x in $$the domain.

Question 4

A population of bacteria doubles every 4 hours. If the initial population is 500, which equation models the population $$P$$ after $$t$$ hours?

Accepted Answer

$$P = 500 	imes 2$$^{t/4}$$

Question 5

Which of the following statements about the graph of $$y = \sin(x) is $$true?

Accepted Answer

It has a period of $$2\pi$$ and an amplitude of $$1.$$

Question 6

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

Accepted Answer

$$17$$

Question 7

A right triangle has legs of length $$3$$ and $$4. $$What is the length of the hypotenuse?

Accepted Answer

$$5$$

Question 8

Which of the following is the inverse function of $$f(x) = 2x + 7$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x-7}{2}$$

Question 9

A ball is thrown upward with an initial velocity of $$32 ft/s $$from a height of $$48 ft. $$Its height after $$t$$ seconds is given by $$h(t) = -16t^2$ + 32t + 48. $$When does the ball reach its maximum height?

Accepted Answer

$$t = 1$$ second

Question 10

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

Accepted Answer

$$x = 32$$

Question 11

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

Accepted Answer

$$25$$

Question 12

Which of the following best describes the end behavior of the polynomial $$f(x) = -2x^3$ + 5x^2$ - x + 4 as$$ $$x 	o \infty$$?

Accepted Answer

$$f(x) 	o -\infty$$

Question 13

A car depreciates in value by $$15\%$$ each year. If the car is worth $$\20$$,000$ now, what will it be worth in 3 years? (Round to the nearest dollar.)

Accepted Answer

$$14,492$$

Question 14

Which of the following is the correct factorization of $$x^2 - 9$?

Accepted Answer

$$(x + 3)(x - 3)$$

Question 15

If $$\sin(	heta) = \frac{3}{5}$$ and $$	heta is in $$the first quadrant, what is $$\cos(	heta)$$?

Accepted Answer

$$\frac{4}{5}$$

Question 16

Which of the following is the solution to the quadratic equation $$x^2 - 6x + 8 = 0$?

Accepted Answer

$$x = 2 or$$ $$x = 4$$

Question 17

A circle has the equation $$(x - 2)^2$ + (y + 3)^2$ = 16. $$What are the center and radius of the circle?

Accepted Answer

Center: $$(2, -3)$$, Radius: $$4$$

Question 18

Which of the following is the domain of the function $$f(x) = \frac{1}{x-5}$$?

Accepted Answer

$$x 
eq 5$$

Question 19

If $$	an(	heta) = 1$$, what is the value of $$	heta in $$the interval $$[0, 2\pi)$$?

Accepted Answer

$$\frac{\pi}{4}$$ and $$\frac{5\pi}{4}$$

Precalculus Course Syllabus Overview

Study Guide - Practice Questions

Study Guide - Flashcards