Intro to Calculus - Week 23 Quiz Multiple Choice Section

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A

The function  $f\left(x\right)=\sqrt{x}$  has an inverse function,  $g\left(x\right).$  Which of the following equations is the line tangent to the graph of  $g$  at the point  $\left(2,\ 4\right)$  on  $g$  ?

•  $y=\frac{1}{4}\left(x-2\right)+4$  

•  $y=\frac{1}{4}\left(x-4\right)+2$  

•  $y=4\left(x-2\right)+4$  

•  $y=4\left(x-4\right)+2$  

Tags

CCSS.HSF-BF.B.4A

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF-BF.B.4A

Which graph represents the functions f(x) and f^-1(x)?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

Find

• 0

• 1/ln(5)

• 1

• ln(5)

Evaluate the limit.

 $\lim_{x\rightarrow2}\ \frac{x^3-8}{x^2-4}$  

• 3

• 4

• 6

• 12

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which of the following is not an indeterminate form?

• $\infty+\infty$

• $\infty-\infty$

• $\frac{\infty}{\infty}$

• $0\times\infty$

What is the answer when  $\frac{1}{\infty}$  

• 1

• 0

•  $\infty$  

• indeterminate

What is the answer when  $\frac{0}{0}$  

• 1

• 0

• $\infty$

• indeterminate