Question 1

Suppose that $x$ and $y$ vary inversely, and $x=10$ when $y=8$. Find $x$ when $y=12$.

Accepted Answer

$6.67$

Answer

$9.6$

Answer

$.8$

Answer

$15$

Question 2

Simplify the rational expression. $\frac{(x-8)(x+4)}{x-8}$

Accepted Answer

$x+4$

Answer

$x+8$

Answer

$\frac{1}{2}$

Answer

$\frac{1}{x+4}$

Question 3

What is the product of these expressions? $\frac{(x+3)(x-1)}{(x-6)(x+3)}*\frac{4(x-6)}{2(x-1)}$

Accepted Answer

$2$

Answer

$\frac{1}{2}$

Answer

$\frac{2(x-1)(x-6)}{(x-6)(x-1)}$

Answer

$\frac{x-1}{x-6}$

Question 4

What of the following is true of the graph of $y=\frac{5(x+3)}{x+3}$?

Accepted Answer

Hole at $x=-3$

Answer

vertical asymptote at $x=3$

Answer

Hole at $x=3$

Answer

vertical asymptote at $x=-3$

Question 5

Daniel wants to write an equation that will vertically stretch, reflect across the x-axis, and shift the graph down. Which equation fits these transformations?

Accepted Answer

$y=\frac{-3}{x}-2$

Answer

$y=\frac{-1}{2x-3}$

Answer

$y=\frac{-5}{x-3}+4$

Answer

$y=\frac{-1}{4x}-5$

Question 6

In $y=\frac{a}{x-h}+k$, what happens to the graph as k changes?

Accepted Answer

the graph moves up/down

Answer

the graph moves left/right

Answer

the graph reflects

Answer

the graph vertically stretches/compresses

Question 7

What is the product of these expressions? $\frac{x^2}{x-3}*\frac{(x-3)(x+2)}{x(x+1)}$

Accepted Answer

$\frac{x(x+2)}{x+1}$

Answer

$\frac{x+2}{x+1}$

Answer

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

Question 8

Can a vertical asymptote be crossed?

Accepted Answer

Never

Answer

Always

Answer

Sometimes

Question 9

What affects the domain of a rational function?

Accepted Answer

Vertical Asymptotes & Holes

Answer

Horizontal Asymptotes & Holes

Answer

Vertical Asymptotes Only

Answer

Holes Only

Question 10

What are the restrictions for the rational expression $\frac{x+2}{(x+3)(x-4)}$

Accepted Answer

$x
ot=-3, 4$

Answer

$x
ot=3, -4$

Answer

$x
ot=3, -4, 2$

Answer

$x
ot=-3, 4, -2$

Related quizzes

Related quizzes