Question 1

Which of the following functions is an odd function?

Accepted Answer

$$f(x) = x^3$

Question 2

Given the piecewise function $$f(x) = \begin{cases} x+2 & x \u003c 0 \ x^2$ & x \geq 0 \end{cases}$$, what is $$f(-3)$$?

Accepted Answer

$$-1$$

Question 3

What is the point-slope form of the equation of a line passing through $$(2, -1)$$ with slope $$m = 3$$?

Accepted Answer

$$y + 1 = 3(x - 2)$$

Question 4

Which of the following is the slope-intercept form of the line passing through $$(0, 5)$$ with slope $$-2$$?

Accepted Answer

$$y = -2x + 5$$

Question 5

Find the equation of the line parallel to $$y = 4x - 7$$ and passing through $$(1, 2).$$

Accepted Answer

$$y = 4x - 2$$

Question 6

Find the equation of the line perpendicular to $$y = \frac{1}{2}x + 3$$ and passing through $$(2, 1).$$

Accepted Answer

$$y - 1 = -2(x - 2)$$

Question 7

What is the result of translating the quadratic function $$f(x) = x^2$ right by 3 units and up by 2 units?

Accepted Answer

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

Question 8

Which of the following is the graph of $$f(x) = |x + 2| - 3$$?

Accepted Answer

The graph of $$y = |x|$$ shifted left 2 units and down 3 units.

Question 9

Find the distance between the points $$(1, 2)$$ and $$(4, 6).$$

Accepted Answer

$$5$$

Question 10

What is the standard form of the equation of a circle with center $$(3, -2)$$ and radius $$5$$?

Accepted Answer

$$(x - 3)^2$ + (y + 2)^2$ = 25$$

Question 11

Given the quadratic function $$f(x) = -2(x - 1)^2$ + 4$$, what is the vertex?

Accepted Answer

$$(1, 4)$$

Question 12

What is the domain of the function $$f(x) = \sqrt{x - 3}$$?

Accepted Answer

$$[3, \infty)$$

Question 13

Find the zeros of the polynomial $$f(x) = x^2$ - 5x + 6.$$

Accepted Answer

$$x = 2, 3$$

Question 14

A polynomial $$f(x)$$ satisfies $$f(1) = -2$$ and $$f(3) = 4. $$According to the Intermediate Value Theorem, which of the following must be true?

Accepted Answer

There exists $$c in$$ $$(1, 3)$$ such that $$f(c) = 0$$

Question 15

Given the circle $$(x - 2)^2$ + (y + 1)^2$ = 16$$, what are the center and radius?

Accepted Answer

Center: $$(2, -1)$$, Radius: $$4$$

Question 16

What is the axis of symmetry for the quadratic function $$f(x) = 2(x + 3)^2$ - 5$$?

Accepted Answer

$$x = -3$$

College Algebra Test 2 Blueprint: Study Guide

스터디 가이드 - 연습 문제