Question 1

Which of the following best describes the graph of the function $$f(x) = |x|$$?

Accepted Answer

A V-shaped graph opening upwards with vertex at $$(0,0)$$

Question 2

Given the quadratic function $$f(x) = -x^2$ + 4x + 5$$, what is the maximum value of $$f(x)$$?

Accepted Answer

$$9$$

Question 3

If $$f(x) = x^2$ - 4$$, what are the $$x-$$intercepts of the graph?

Accepted Answer

$$x = -2$$ and $$x = 2$$

Question 4

Which of the following is the correct solution set for $$x^2 = 9$?

Accepted Answer

$$\{ -3, 3 \}$$

Question 5

What is the domain of the function $$f(x) = \sqrt{x-2}$$?

Accepted Answer

$$[2, \infty)$$

Question 6

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

Accepted Answer

$$9$$

Question 7

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

Accepted Answer

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

Question 8

Which of the following is the correct vertex of the parabola $$y = x^2$ - 6x + 8$$?

Accepted Answer

$$(3, -1)$$

Question 9

If $$f(x) = \sqrt{9 - x^2$}$$, what is the range of $$f(x)$$?

Accepted Answer

$$[0, 3]$$

Question 10

Which of the following is the correct factorization of $$x^2 - 4x + 4$?

Accepted Answer

$$(x - 2)^2$

Question 11

A business finds its profit $$P(x) in $$thousands of dollars is given by $$P(x) = -2x^2$ + 8x - 3$$, where $$x is $$the number of units sold in hundreds. What is the maximum profit?

Accepted Answer

$$5$$ thousand dollars

Question 12

Which of the following is the correct solution to $$\sqrt{x} = 5$$?

Accepted Answer

$$x = 25$$

Question 13

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

Accepted Answer

$$36$$

Question 14

Which of the following is the correct solution set for $$x^2 + 1 = 0$?

Accepted Answer

$$\{ i, -i \}$$

Question 15

If $$f(x) = x^2$ - 2x + 1$$, what is the minimum value of $$f(x)$$?

Accepted Answer

$$0$$

Question 16

Which of the following is the correct solution to $$x^2 = 0$?

Accepted Answer

$$x = 0$$

Question 17

If $$f(x) = x^2$ + 2x + 1$$, what is the $$y-$$intercept of the graph?

Accepted Answer

$$1$$

Question 18

Which of the following is the correct solution to $$x^2 - 16 = 0$?

Accepted Answer

$$x = -4$$ and $$x = 4$$

Question 19

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

Accepted Answer

$$[0, \infty)$$

Question 20

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

Accepted Answer

$$x = -2$$

Fundamental Concepts in Business Calculus: Functions, Graphs, and Algebraic Operations

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