The Reciprocal Functions - Including Transformations

Which of the following represents the graph below?

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Which of the following represent the graph?

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What is the domain for the following function?

• All real numbers except 2.

• All real number except -2.

• All real numbers except 4.

• All real numbers.

Describe the transformation of the function.

• shift left 3 units

• shift right 3 units

• shift up 3 units

• shift down 3 units

Describe the transformations of the function.

• Shift up by 2 units

  Reflected over the x-axis

• Shift down by 2 units

  Reflected over the y-axis

• Shift up by 2 units

  Reflected over the y-axis

• Shift left by 2 units

  Reflected over the x-axis

What is this function called?

• Quadratic

• Reciprocal

• Polynomial

• Exponential

What is the equation of the Vertical Asymptote of  $y=\frac{3}{x-4}+2$  

•  $x=2$  

•  $y=2$  

•  $x=4$  

•  $y=4$  

• No Vertical Asymptote

What is the equation of the function seen here?

• $f\left(x\right)=-\frac{1}{x-4}+1$

• $f\left(x\right)=\frac{1}{x-4}+1$

• $f\left(x\right)=-\frac{1}{x+4}+1$

• $f\left(x\right)=\frac{1}{x+4}+1$

What is the term for a line that a graph approaches but never touches?

• Intercept

• Undefined

• Asymptote

• Rational

Which of the following is NOT a vertical asymptote of the function?

• x = 3

• x = -3

• x = 2

• x = -2