Rational Functions

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

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How is this function transformed from the parent function?

• Translated left and up
• Translated right and up
• Translated left and down
• Translated right and down

What is the horizontal asymptote of the function given?

• y = 2
• x = 1
• x = 2
• y = -1

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

Which is the graph of the rational equation:

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Which function matches this graph?

• $f\left(x\right)=\frac{1}{x-1}+2$

• $f\left(x\right)=\frac{1}{x+2}-1$

• $f\left(x\right)=\frac{1}{x+1}+2$

• $f\left(x\right)=\frac{1}{x-2}+1$

What is the name of this function?

• Parabola
• Rational Function 
• Ellipse 
• Cubic 

For what values of x is  $\frac{6x+4}{\left(x-4\right)\left(x+5\right)}$  undefined?

• x= 4 and x= 5

• x = 4 and x = -5

• x = -4 and x = 5

• x = 1  and x = -1

Simplify the expression:
 $\frac{\left(x+10\right)}{3x\left(x+10\right)}=$  

•  $\frac{1}{3x}$  

•  $3x$  

•  $x+10$  

•  $3x^2+30x$