Really Rational Review

Given $g\left(x\right)=\frac{2x-10}{x+4}$ and  $h\left(x\right)=\frac{x^2-16}{x-5}$  Determine which statements are true

• The product of g(x) and h(x) is  $2x-8$  

• The product of g(x) and h(x) is  $2x-4$  

• x=-4 is a vertical asymptote on the graph g(x)

• For h(x)  $as\ x\rightarrow\infty\ \ \ \ h\left(x\right)\rightarrow\infty$  

• For g(x) as  $x\rightarrow\infty\ \ g\left(x\right)\rightarrow1$  

Tags

CCSS.HSF-IF.C.7D

Given $s\left(x\right)=\frac{2x^2-6x}{x^2+6x-27}$  and  $r\left(x\right)=\frac{x^2+14x+45}{x^3+5x^2}$ , determine the statements that are true. 

• The product of s(x) and r(x) is  $\frac{3}{x}$  

• The product of s(x) and r(x) is  $\frac{4}{x}$  

• The rational function s(x) has a hole at x=3 and a vertical asymptote at -9

• The rational function r(x) simplifies to  $\frac{x+9}{x^2}$  

• The horizontal asymptote of r(x) is y = 0

Tags

CCSS.HSA.APR.D.6

Given $h\left(x\right)=\frac{x^2+4}{x^2-7x+6}\$  and  $p\left(x\right)=\ \frac{8}{x-6}$  
Determine the true statements.

• The difference of h(x) and p(x) is  $\frac{x-2}{x-1}$  

• The difference of h(x) and p(x) is  $\frac{x^2+8x-4}{x^2-7x+6}$  

• The quotient of h(x) and p(x) is  $\frac{x^2+4}{8x-8}$  

• The quotient of h(x) and p(x) is  $\frac{8x^2+32}{\left(x-6\right)^2\left(x-1\right)}$  

Tags

CCSS.HSA.APR.D.7

 $n\left(x\right)=\frac{13x+21}{6x^2+5x-4}$  and  $p\left(x\right)=\frac{1}{3x+4}$  Determine the values of A,B, and C that make the statement  $n\left(x\right)\ +\ p\left(x\right)\ =\ \frac{Ax^2+Bx\ +C}{2x-1}$  True.

• A = 0   B = 15  C = 22  

• A = 1  B = 0  C= 5

• A= 0   B = 0   C = 5

• A = 0 B = 13  C = 22

Tags

CCSS.HSA.APR.D.7

A parallelogram has an area of  $A\left(x\right)=\frac{x^2+x-2}{x^3}$  . What expression represents the height of the parallelogram if the base is  $b\left(x\right)=\frac{x-1}{x^2}$  

•  $h\left(x\right)=\frac{x^2}{x-1}$  

•  $h\left(x\right)=\frac{x^2+2x}{x^2}$  

•  $h\left(x\right)=\frac{x+2}{x}$  

•  $h\left(x\right)=\frac{x}{x+2}$  

Tags

CCSS.HSA.CED.A.4

What is the remainder of $\frac{p\left(x\right)}{g\left(x\right)}$  if  $p\left(x\right)=3x^3+5x^2-3x-4$   and  $g\left(x\right)=x-3$   

• 113

• -31

• 1.113

• 3

Tags

CCSS.HSA.APR.B.2

Who is this?

• Kevin Heart

• Kevin Hart

• Kevin Durant

• Kevin McCallister

Tags

CCSS.RI.11-12.5

CCSS.RI.6.5

CCSS.RI.7.5

CCSS.RI.8.5

CCSS.RI.9-10.5

 $\log_u125=3$  

Convert the following Logarithmic statement to an exponential statement.

•  $u^3=125$  

•  $3^u=125$  

•  $u^{125}=3$  

•  $3^{125}=u$  

Tags

CCSS.HSF.BF.B.5

 $\log_u125=3$  

Convert the following Logarithmic statement to an exponential statement.

•  $u^3=125$  

•  $3^u=125$  

•  $u^{125}=3$  

•  $3^{125}=u$  

Tags

CCSS.HSF.BF.B.5

• A

• B

• C

• D

Tags

CCSS.HSA.APR.D.7