$$f(3) = 3^2$ - 4 \times 3 + 7 = 9 - 12 + 7 = 4$$

$$P(5) = 1000 + 50 \times 5 - 2 \times 25 = 1000 + 250 - 50 = 1200$$

$$f(4) = 2 \times 4 - 5 = 8 - 5 = 3$$

$$d(3) = 60 \times 3 - 5 \times 9 = 180 - 45 = 135$$

Question 1

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

Accepted Answer

$$f(-2) = 2(-2)^2$ - 3(-2) + 5 = 8 + 6 + 5 = 19$$

Question 2

Which of the following is the correct solution to $$2x + 3 = 11$$?

Accepted Answer

$$x = 4$$

Question 3

If $$f(x) = x^2$ - 4x + 7$$, what is $$f(3)$$?

Accepted Answer

$$f(3) = 3^2$ - 4 	imes 3 + 7 = 9 - 12 + 7 = 4$$

Question 4

Solve for $$x in $$the equation $$5x - 2 = 3x + 6.$$

Accepted Answer

$$x = 4$$

Question 5

Which of the following is the value of $$f(0)$$ for $$f(x) = 4x - 7$$?

Accepted Answer

$$f(0) = -7$$

Question 6

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

Accepted Answer

$$f(2) = 3(2)^2$ - 2(2) + 1 = 12 - 4 + 1 = 9$$

Question 7

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

Accepted Answer

$$x = 2 or$$ $$x = 3$$

Question 8

A chemical reaction's rate is modeled by $$R(t) = 5t^2$ - 2t + 3. $$What is the rate at $$t = 1$$?

Accepted Answer

$$R(1) = 5(1)^2$ - 2(1) + 3 = 5 - 2 + 3 = 6$$

Question 9

If $$f(x) = x^2$ - 2x + 1$$, which of the following is the vertex of the parabola?

Accepted Answer

$$(1, 0)$$

Question 10

A population grows according to $$P(t) = 1000 + 50t - 2t^2$. What is the population at t = 5$?

Accepted Answer

$$P(5) = 1000 + 50 	imes 5 - 2 	imes 25 = 1000 + 250 - 50 = 1200$$

Question 11

Solve for $$x in $$the equation $$3x + 7 = 2x - 5.$$

Accepted Answer

$$x = -12$$

Question 12

Which of the following is the correct solution for $$x in$$ $$x^2 + 4x + 4 = 0$?

Accepted Answer

$$x = -2$$

Question 13

If $$f(x) = 2x - 5$$, what is $$f(4)$$?

Accepted Answer

$$f(4) = 2 	imes 4 - 5 = 8 - 5 = 3$$

Question 14

A car's distance traveled is modeled by $$d(t) = 60t - 5t^2$. How far has the car traveled after 3 hours?

Accepted Answer

$$d(3) = 60 	imes 3 - 5 	imes 9 = 180 - 45 = 135$$

College Algebra: Functions and Domain Study Guide

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