4.1 Reciprocal Function

What is this function called?

• Quadratic

• Reciprocal

• Polynomial

• Exponential

Which is the parent function ?

• $f\left(x\right)\ =\ x^2$

• $f\left(x\right)=\ e^x$

• $f\left(x\right)\ =\ \frac{1}{x}$

• $f\left(x\right)\ =\log_{ }x$

Which is the equation of the function shown?

• $f\left(x\right)=\frac{1}{x+4}+3$

• $f\left(x\right)=\frac{1}{x-4}-3$

• $f\left(x\right)=\frac{1}{x-3}-4$

• $f\left(x\right)=\frac{1}{x+3}+4$

Which is the equation of the vertical asymptote?

•  $x=-3$ 

•  $y=-3$ 

•  $x=4$ 

•  $y=4$ 

Which is the equation of the horizontal asymptote?

•  $x=-3$ 

•  $y=-3$ 

•  $x=4$ 

•  $y=4$ 

What transformations happened to get this function?

• Horizontal shift Left 4 units  +  Vertical shift Up 2 units

• Horizontal shift Right 4 units  +  Vertical shift Up 3 units

• Horizontal shift Left 4 units  +  Vertical shift Down 3 units

• Horizontal shift Right 4 units  +  Vertical shift Down 3 units

Which of the following represents the graph below?

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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 right by 3 units

• shift left by 3 units

• shift up by 3 units

• shift down by 3 units

What is the horizontal asymptote of the following function?

• x = -2

• x = 2

• y = -3

• y = 3