Y11 #22 rational functions

Simplify.

• 1/(n-7)
• n-7
• (n-6)/(n-7)
• n-6

What is the equation of the rational function graphed?

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Find the horizontal asymptote.

• y = -2
• none
• y = 0
• y = 1/2

Which asymptote(s) are determined by looking at the denominator?

• vertical

• horizontal

• slant

• none

What are the asymptotes?

• x = −3 y = 1

• x = 3 y = 1

• x = −3 y = −1

• x = 3 y = −1

What is the domain and range?

• D : All real number x ≠ -3
  R: All real number y≠ 1
• D : All real number x ≠ 1
  R: All real number y≠ -3
• D : All real number x ≠ 3
  R: All real number y≠ 1
• D : All real number x ≠ -1
  R: All real number y≠ 3

Select the graph that show the corresponding vertical & horizontal asymptotes to this function

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Simplify

 $\frac{\frac{x}{25}+\frac{x}{5}}{\frac{5}{x}}$  

•  $\frac{25x^2}{400+4x}$  

•  $\frac{6x^2}{125}$  

•  $\frac{400x}{x^3-16}$  

•  $\frac{x^2+x^3}{625}$  

Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?

• 48 minutes

• 50 minutes

• 24 minutes

• 12 minutes

Describe the transformation.

• Reflect over x-axis, left 3, up 3

• Reflect over x-axis, right 3, up 3

• Reflect over y-axis, left 3, up 3

• Reflect over x-axis, right 3, down 3