Analysis: Inverses, Continuity & End Behavior

Which of the following is the inverse to function below?

 $f\left(n\right)=-\frac{2}{n-1}+3$  

•  $f^{-1}\left(n\right)=\frac{2}{-n+3}+1$  

•  $f^{-1}\left(n\right)=\frac{2}{n+2}$  

•  $f^{-1}\left(n\right)=\frac{4}{n-1}-1$  

•  $f^{-1}\left(n\right)=-\frac{2}{n-2}+1$  

Tags

CCSS.HSF-BF.B.4A

Which of the following is the inverse to the function below?

 $f\left(x\right)=\left(x-1\right)^5-3$  

•  $f^{-1}\left(x\right)=\ ^5\sqrt{-x+1}$  

•  $f^{-1}\left(x\right)=\ ^5\sqrt{x-3}-2$  

•  $f^{-1}\left(x\right)=\ ^5\sqrt{\frac{x}{2}}$  

•  $f^{-1}\left(x\right)=\ ^5\sqrt{x+3}+1$  

Tags

CCSS.HSF-BF.B.4A

Which of the following is the graph of the inverse of the function below?

 $g\left(x\right)=\frac{4}{x}+2$  

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

For which of the following is the function's inverse also a function? Choose all that apply.

• $y=\left(x-1\right)^2+4$

• $y=\left(x-3\right)^3-5$

• $y=3x-5$

• $y=\frac{1}{2}\left|x\right|+5$

Which of the following functions is NOT continous at x = 3. Choose all that apply.

•  $f\left(x\right)=\frac{1}{x^2-9}$  

•  $g\left(x\right)=-\frac{1}{x+3}-2$  

•  $h\left(x\right)=\frac{3}{\left(2x-6\right)}+1$  

•  $p\left(x\right)=\sqrt{x-3}+7$  

At which values of x is the following piecewise function NOT continuous?

• 1

• 2

• 5

• 7

• 8

Tags

CCSS.HSF-IF.C.7B

On which interval is the following function decreasing?

 $f\left(x\right)=-x^2-2x-1$  

•  $\left(-\infty,\ \infty\right)$  

•  $\left(-\infty,\ 0\right)$  

•  $\left(-\infty,\ -1\right)$  

•  $\left(-1,\ \infty\right)$  

On which intervals is the following function Increasing?

 $g\left(x\right)=\frac{1}{\left|.5x-1\right|}$  

•  $x>2$  

•  $x<2$  

•  $x>0$  

• All Reals

• Never Increasing

What is the end behavior of the following function?

 $f\left(x\right)=-2\left(x-2\right)^2-4$  

•  $As\ x\ \longrightarrow\ \infty,\ y\ \rightarrow\ \infty$  
   $As\ x\ \longrightarrow\ -\infty,\ y\ \rightarrow\ \infty$  
  

•  $As\ x\ \rightarrow\ \infty,\ y\ \rightarrow-\infty$  
   $As\ x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\infty$  
  

•  $As\ x\ \rightarrow\ \infty,\ y\ \rightarrow\ \infty$  
   $As\ x\ \rightarrow\ -\infty,\ y\ \rightarrow\ -\infty$  
  

•  $As\ x\ \rightarrow\ \infty,\ y\ \rightarrow\ -\infty$  
   $As\ x\ \rightarrow-\infty,\ y\ \rightarrow\ \infty$  
  

What is the end behavior of the following function as x approaches negative infinity?

 $f\left(x\right)=\frac{1}{x+1}+1$  

• f(x) approaches 1

• f(x) approaches positive infinity

• f(x) approaches negative infinity

• f(x) approaches -1

• Does Not Exist

Tags

CCSS.HSF-IF.C.7D