Question 1

Which of the following is the correct simplification of $$\sqrt{50}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 2

Given the function $$f(x) = x^2$ - 4x + 3$$, what are the $$x-$$intercepts?

Accepted Answer

$$x = 1$$ and $$x = 3$$

Question 3

Which graph best represents the function $$f(x) = -x^2$?

Accepted Answer

A downward-opening parabola with vertex at the origin

Question 4

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

Accepted Answer

$$[0, \infty)$$

Question 5

Which of the following is the correct simplification of $$\sqrt{18} + \sqrt{8}$$?

Accepted Answer

$$5\sqrt{2}$$

Question 6

A company’s profit $$P (in $$thousands of dollars) is modeled by $$P(x) = -2x^2$ + 8x - 6$$, where $$x is $$the number of units sold (in thousands). What is the maximum profit?

Accepted Answer

Question 7

Which function is represented by a graph that passes through the origin and increases at a constant rate?

Accepted Answer

$$f(x) = x$$

Question 8

What is the range of the function $$f(x) = x^2$?

Accepted Answer

$$[0, \infty)$$

Question 9

Which of the following is the correct simplification of $$\sqrt{27} - \sqrt{12}$$?

Accepted Answer

$$3\sqrt{3} - 2\sqrt{3} = \sqrt{3}$$

Question 10

Given the graph of $$f(x) = x^3$, which of the following statements is true?

Accepted Answer

The graph passes through the origin and is symmetric about the origin

Question 11

If $$f(x) = \frac{1}{x}$$, what is the domain of $$f$$?

Accepted Answer

$$(-\infty, 0) \cup (0, \infty)$$

Question 12

Which of the following is the correct simplification of $$\sqrt{32}$$?

Accepted Answer

$$4\sqrt{2}$$

Question 13

A graph shows a function with a sharp turn at $$x = 0$$ and increases for $$x \u003e 0. $$Which function could this be?

Accepted Answer

$$f(x) = |x|$$

Question 14

Which of the following is the correct simplification of $$\sqrt{75}$$?

Accepted Answer

$$5\sqrt{3}$$

Question 15

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

Accepted Answer

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

Question 16

Which of the following is the correct simplification of $$\sqrt{45} + \sqrt{20}$$?

Accepted Answer

$$3\sqrt{5} + 2\sqrt{5} = 5\sqrt{5}$$

Question 17

Which function has a domain of all real numbers except $$x = 0$$ and a vertical asymptote at $$x = 0$$?

Accepted Answer

$$f(x) = \frac{1}{x}$$

Question 18

If $$f(x) = \sqrt{x-1}$$, what is the domain of $$f$$?

Accepted Answer

$$[1, \infty)$$

Question 19

Which of the following is the correct simplification of $$\sqrt{12} \cdot \sqrt{3}$$?

Accepted Answer

$$6$$

Question 20

A graph shows a function that is always increasing and passes through the origin. Which function could this be?

Accepted Answer

$$f(x) = x^3$

Exam 1

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