Question 1

Given the relation $$\{(8, -2), (9, 0), (7, 7), (5, 2), (4, 7), (2, 3)\}$$, is this relation a function?

Accepted Answer

Yes, because each $$x-$$value is paired with exactly one $$y-$$value.

Question 2

What is the domain of the relation $$\{(8, -2), (9, 0), (7, 7), (5, 2), (4, 7), (2, 3)\}$$?

Accepted Answer

$$\{7, 4, 8, 5, 9, 2\}$$

Question 3

Evaluate $$f(x) = 5x - 8 at$$ $$x = -7.$$

Accepted Answer

$$-43$$

Question 4

Which of the following best describes the function $$f(x) = 2x^4$ - 4x$$?

Accepted Answer

Polynomial function

Question 5

What is the domain of $$f(x) = 2x^4$ - 4x$$?

Accepted Answer

$$(-\infty, \infty)$$

Question 6

Find the $$x-$$intercept(s) of $$f(x) = \dfrac{x}{x^2$ - 16}.$$

Accepted Answer

$$x = 0$$

Question 7

Find the $$y-$$intercept of $$f(x) = \dfrac{x}{x^2$ - 16}.$$

Accepted Answer

$$y = 0$$

Question 8

For the function whose graph has domain $$[ -4, \infty )$$ and range $$(-\infty, 0]$$, which of the following could be its equation?

Accepted Answer

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

Question 9

Given the function $$f(x) is $$increasing on $$(-\infty, -8) \cup (-3, -2)$$, decreasing on $$(-8, -6)$$, and constant on $$(-6, -3) \cup (-2, \infty)$$, which interval is $$f(x)$$ constant?

Accepted Answer

$$(-6, -3) \cup (-2, \infty)$$

Question 10

A function has a relative maximum at $$x = 1$$ with value $$4. $$What is the relative maximum value?

Accepted Answer

$$4$$

Question 11

Which of the following is true about the function $$f(x) = \dfrac{1}{x}$$?

Accepted Answer

The function is odd.

Question 12

Given $$f(x) = x^2$ for x$$ \u003c 1$$, what is the domain of f$?

Accepted Answer

$$(-\infty, 1)$$

Question 13

The graph of $$f(x) = (x-1)^2$ + 3 is $$obtained from $$y = x^2$ by which transformations?

Accepted Answer

Shift right 1 unit, up 3 units

Question 14

If $$f(x) is $$reflected over the $$y-$$axis to produce $$f(-x)$$, where does the point $$(-12, 0)$$ move?

Accepted Answer

$$(12, 0)$$

Question 15

Given $$f(x) = 3x$$ and $$h(x) = \dfrac{1}{3}x$$, the graph of $$f(x) is a $$vertical ______ of $$h(x) by a $$factor of $$3.$$

Accepted Answer

stretch

Question 16

Evaluate $$(fh)(6)$$ given $$f(x) = x + 3$$ and $$h(x) = \dfrac{1}{2x + 3}.$$

Accepted Answer

$$1/5$$

Question 17

Given $$f(x) = x^2$ + 4$$ and $$g(x) = x - 16$$, find $$(f+g)(x). $$Simplify your answer.

Accepted Answer

$$x^2 + x - 12$

Question 18

Evaluate $$(h \circ h)(1)$$ for $$h(x) = x + 3.$$

Accepted Answer

$$5$$

Question 19

Given $$f(x) = 6x + 2$$ and $$g(x) = \dfrac{4}{x + 2}$$, find $$(f \circ g)(x)$$ and simplify.

Accepted Answer

$$\dfrac{2x + 28}{x + 2}$$

Question 20

Given $$f(x) = \dfrac{x - 4}{2}$$ and $$g(x) = \dfrac{3x - 12}{2}$$, are $$f$$ and $$g$$ inverse functions?

Accepted Answer

No, because $$(f \circ g)(x) = x - 8$$ and $$(g \circ f)(x) = x - 12.$$

College Algebra Chapter 3 Review – Step-by-Step Guidance

Guida di studio - Domande di pratica

Study guide - Flashcard