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 a line with slope $$-2$$ and $$y-$$intercept $$5$$?

Accepted Answer

$$y = -2x + 5$$

Question 5

Find the equation of a line parallel to $$y = 4x - 7$$ that passes through the point $$(1, 2).$$

Accepted Answer

$$y = 4x - 2$$

Question 6

What is the equation of a line perpendicular to $$y = \frac{1}{2}x + 3$$ and passing through $$(0, 4)$$?

Accepted Answer

$$y = -2x + 4$$

Question 7

What is the result of translating the quadratic function $$f(x) = x^2$ two units right and three units down?

Accepted Answer

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

Question 8

Which transformation describes $$g(x) = |x + 4| - 2$$ compared to $$f(x) = |x|$$?

Accepted Answer

Shift left 4 units and down 2 units

Question 9

Find the distance between the points $$(3, 7)$$ and $$(-1, 4).$$

Accepted Answer

$$5$$

Question 10

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

Accepted Answer

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

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

If $$f(x) = x^3$ - x - 2$$, use the Intermediate Value Theorem to determine if there is a zero between $$x = 1$$ and $$x = 2.$$

Accepted Answer

Yes, because $$f(1) = -2$$ and $$f(2) = 4$$ have opposite signs

Question 15

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

Accepted Answer

Center $$(1, -2)$$, radius $$4$$

Question 16

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

Accepted Answer

$$x = -3$$

Question 17

Which of the following describes the range of the quadratic function $$f(x) = -x^2$ + 2x + 3$$?

Accepted Answer

$$(-\infty, 4]$$

Question 18

A ball is thrown and its height in meters after $$t$$ seconds is given by $$h(t) = -5t^2$ + 20t + 1. $$What is the maximum height reached by the ball?

Accepted Answer

$$21$$ meters

Question 19

Which of the following is the correct vertex form for the quadratic function $$f(x) = x^2$ - 6x + 5$$?

Accepted Answer

$$f(x) = (x - 3)^2$ - 4$$

College Algebra Test 2 Study Blueprint & Key Concepts

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