Pre calc final

What is the right hand limit of f(x) as x approaches 6?

 $f\left(x\right)=\frac{-5\left|x-6\right|}{x-6}$  

• 6

• -6

• -5

• 5

• 0

What is the value of this limit?

 $\lim_{x\rightarrow1}\ \left(-x^2+1\right)$  

• -2

• 2

• 1

• 0

What value must be defined for f(4)  to remove the discontinuity of this function at x=4 ?

 $f\left(x\right)=\frac{x^2-2x-8}{x-4}$  

• 0

• -4

• 4

• 6

• -6

What is the right hand limit of f(x) as x approaches  $\infty$  ?

 $f\left(x\right)=\frac{-5x^2-3x+9}{3x^2+2}$  

•  $\frac{5}{3}$  
  

•  $-\frac{5}{3}$  
  

•  $\frac{9}{2}$  

•  $-\frac{9}{2}$  
  

• 0

Which of the following limits has a 0 value?

•  $\lim_{x\rightarrow0}\ \frac{2x+5}{x-5}$  
  

•  $\lim_{x\rightarrow-2}\ \ \ \frac{x^2-4}{x-2}$  

•  $\lim_{x\rightarrow\ -1}\left(\frac{x^2-x-2}{x+1}\right)$  

•  $\lim_{x\rightarrow5}\ \ x^2-2x+15$  

Find the derivative of

f(x) = 10x⁴ + 7x² - x-13

• 40x³ + 14x-1

• 10x-14x-3x-13

• 40x³ + 14x-13

• 10x-14x-3x-1

Find the slope of the tangent line to

f(x) = -3x⁴-7x at x = 0.

• m = 0

• m= -5

• m = -7

• m = -12

If a function has a derivative that is 0, what does that tell you?

• The function is increasing

• The function is decreasing

• The function is neither increasing or decreasing

• The function is undefined

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

Tags

CCSS.HSS.ID.C.7

At which point(s) will the slopes of the tangent line are negative?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only