Reciprocal Functions 2

What is this function called?

• Quadratic

• Reciprocal

• Polynomial

• Exponential

Tags

CCSS.HSA.APR.A.1

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?

• $f\left(x\right)=\frac{1}{x+4}+3$

• $f\left(x\right)=\frac{1}{x-4}-3$

• $f\left(x\right)=\frac{1}{x-3}-4$

• $f\left(x\right)=\frac{1}{x+3}+4$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which is the domain of the function shown?

•  $-\infty<x<-3\ \ \ \ \ \ and\ \ \ \ \ \ -3<x<\infty$ 

•  $-\infty<y<-3\ \ \ \ \ \ and\ \ \ \ \ \ -3<y<\infty$ 

•  $-\infty<x<4\ \ \ \ \ \ and\ \ \ \ \ \ 4<x<\infty$ 

•  $-\infty<y<4\ \ \ \ \ and\ \ \ \ \ \ 4<y<\infty$ 

Which is the range of the function shown?

•  $-\infty<x<-3\ \ \ \ \ \ and\ \ \ \ \ \ -3<x<\infty$ 

•  $-\infty<y<-3\ \ \ \ \ \ and\ \ \ \ \ \ -3<y<\infty$ 

•  $-\infty<x<4\ \ \ \ \ and\ \ \ \ \ \ 4<x<\infty$ 

•  $-\infty<y<4\ \ \ \ \ and\ \ \ \ \ \ 4<y<\infty$ 

Which is the equation of the vertical asymptote?

•  $x=-3$ 

•  $y=-3$ 

•  $x=4$ 

•  $y=4$ 

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which is the equation of the horizontal asymptote?

•  $x=-3$ 

•  $y=-3$ 

•  $x=4$ 

•  $y=4$ 

Tags

CCSS.HSA.REI.D.10

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

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which is the y-intercept of the function?

•  $\left(\ 0\ ,\ \frac{1}{0-4}-3\right)\ \rightarrow\ \left(0\ ,\ -3.25\right)$ 

•  $\left(\ 0\ ,\ \frac{1}{0+4}-3\right)\ \rightarrow\ \left(0\ ,\ -2.75\right)$ 

•  $\left(\ 0\ ,\ \frac{1}{0-3}+4\right)\ \rightarrow\ \left(0\ ,\ 3.67\right)$ 

•  $\left(\ 0\ ,\ \frac{1}{0+3}-4\right)\ \rightarrow\ \left(0\ ,\ -3.67\right)$ 

Which is the x-intercept of the function?

•  $\left(\ \frac{1}{x-4}+3=0\ \ ,\ 0\ \ \right)\ \rightarrow\ \left(3.67\ ,\ 0\right)$ 

•  $\left(\ \frac{1}{x-4}-3=0\ \ ,\ 0\ \ \right)\ \rightarrow\ \left(4.33\ ,\ 0\right)$ 

•  $\left(\ \frac{1}{x+4}-3=0\ \ ,\ 0\ \ \right)\ \rightarrow\ \left(-3.67\ ,\ 0\right)$ 

•  $\left(\ \frac{1}{x+4}+3=0\ \ ,\ 0\ \ \right)\ \rightarrow\ \left(-4.33\ ,\ 0\right)$