Midterm Review Honors Math 3 Day 3

What is the relative maximum and minimum? Select all that apply.

• (0, -6) Minimum

• $-\infty$ Minimum

• $\infty$ Maximum

• (-2.5, 1) Maximum

• No maximum or minimum

 $y=\frac{x+3}{x^2-5x+6}$  

Select all of the asymptotes of the function,

• No Horizontal Asymptote

• x=3

• y=3

• y=0

• x=2

Which solution has a multiplicity of 2?

• -1

• 3

• 5

• None

Which solution has a multiplicity of 3?

• -1

• 3

• 5

• None

Which solution has a multiplicity of 1?

• -1

• 3

• 5

• None

When calibrating a spring scale, you need to know how far the spring stretches based on given weights. Hooke's law states that the length a spring stretches is proportional to the weight attached to the spring. A model for one scale is l = 0.5w + 3 where l is the total length (in inches) of the spring and w is the weight (in pounds) of the object. Find the inverse model for the scale.

• $l^{-1}=\frac{w-3}{0.5}$

• $l^{-1}=3w-0.5$

• $l^{-1}=\frac{w+3}{0.5}$

• $l^{-1}=0.5w-6$

 $y=2x^2-5\ \ \ \ when\ \ x\ge0$  Identify the inverse of the function.

•  $y^{-1}=\frac{\sqrt{x+5}}{2}$  

•  $y^{-1}=5x^2+2$  

•  $y^{-1}=\sqrt{\frac{x+5}{2}}$  

•  $y=-2x^2+5$  

 $y=\frac{2x-1}{x-2}$  
Given function A (the graph) and function B above, which asymptotes do the functions have in common.  Select all that apply.

• x=-2

• x=2

• y=2

• None in common
  

• No Horizontal Asymptotes

 $\frac{x}{x-1}-\frac{1}{x-2}=\frac{2x-5}{x^2-3x+2}$  Solve.  Select all that apply.

• x=2

• x=-3

• x=-2

• x=3

• No solution

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

•  $x=\frac{3}{4}$  

•  $x=-\frac{4}{3}$  

•  $x=2$  

•  $x=0$