Question 1

Which of the following best describes the domain of the function $$f(x) = \sqrt{x-2}$$?

Accepted Answer

$$[2, \infty)$$

Question 2

Given the graph of a function that passes through the points $$(-2, 0)$$, $$(0, 2)$$, and $$(2, 0)$$, which of the following could be its equation?

Accepted Answer

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

Question 3

Which of the following intervals represents the range of the function $$f(x) = x^2$ - 4$$?

Accepted Answer

$$[-4, \infty)$$

Question 4

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

Accepted Answer

$$f(g(2)) = 2 \cdot 4 + 3 = 11$$

Question 5

Which of the following is the solution set for $$|x - 3| \u003c 5$$?

Accepted Answer

$$(-2, 8)$$

Question 6

A quadratic function $$f(x)$$ has its vertex at $$(1, -4)$$ and passes through the point $$(0, 0). $$Which of the following could be its equation?

Accepted Answer

$$f(x) = x^2$ - 2x - 3$$

Question 7

Which of the following represents the solution to $$\sqrt{x+1} = 3$$?

Accepted Answer

$$x = 8$$

Question 8

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

Accepted Answer

$$f(2) + g(2) = 4 + 3 = 7$$

Question 9

Which of the following is the correct interval notation for the set $$\{x | x \geq -3 \}$$?

Accepted Answer

$$[-3, \infty)$$

Question 10

Given the function $$f(x) = |x|$$, which of the following statements is true?

Accepted Answer

The function is even.

Question 11

Solve for $$x$$: $$2x - 5 = 9$$

Accepted Answer

$$x = 7$$

Question 12

Which of the following is the solution set for $$x^2 - 4 = 0$?

Accepted Answer

$$\{2, -2\}$$

Question 13

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

Accepted Answer

$$(1, 0)$$

Question 14

Which of the following is the correct solution to $$|2x + 1| = 7$$?

Accepted Answer

$$x = 3, x = -4$$

Question 15

Which of the following is the inverse of the function $$f(x) = 2x + 5$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x-5}{2}$$

Question 16

If $$f(x) = x^2$ and g(x$$) = \sqrt{x}$$, what is (f$$ \circ g)(4)$$?

Accepted Answer

$$f(g(4)) = (\sqrt{4})^2$ = 4$$

Question 17

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

Accepted Answer

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

Question 18

Which of the following best describes the graph of $$y = |x|$$?

Accepted Answer

A V-shaped graph opening upwards

Question 19

If $$f(x) = x^2$ - 4x + 3$$, for which value of $$x$$ does $$f(x) = 0$$?

Accepted Answer

$$x = 1 or$$ $$x = 3$$

Question 20

Which of the following is the correct interval notation for the set $$\{x | x \u003c 5\}$$?

Accepted Answer

$$(-\infty, 5)$$

Chapter 1 Review: Equations, Inequalities, and Graphs

스터디 가이드 - 연습 문제