11.3 quiz PreCalclus

Find the slope of the line tangent to the graph of f(x) at the indicated point.
 $f\left(x\right)=-2x+7,\ at\ \left(-3,13\right)$  

• 3/2

• -3/13

• -2

• 7

What is the expression that can be used to find the equation for the slope of the graph of a function  $f\left(x\right)=x+4$   at any given time?

•  $\frac{\left[\left(x+h\right)+4\right]-\left(x+4\right)}{h}$  

•  $\lim_{h\rightarrow0}\left[\frac{\left[\left(x+h\right)+4\right]-\left(x+4\right)}{h}\right]$  

•  $\frac{\left(x+4+h\right)=\left(x+4\right)}{h}$  

•  $\lim_{h\rightarrow0}\left[\frac{\left(x+4+h\right)-\left(x+4\right)}{h}\right]$  

Tags

CCSS.HSF.IF.A.2

Use the limit definition to find the derivative at the indicated point.
 $f\left(x\right)=-2x^2-x-3,\ at\ \left(1,\ -6\right)$  

• -3

• 5

• -5

• 3

Use the limit definition to find the derivative at the indicated point.
 $f\left(x\right)=-x^2-4x$  

•  $f'\left(x\right)=-2x^3-4$  

•  $f'\left(x\right)=-10x^2$  

•  $f'\left(x\right)=-x^3-4$  

•  $f'\left(x\right)=-2x-4$  

 $Find\ \lim_{x\rightarrow\infty}\left(\frac{7x^2-3}{3x^2}\right)$  

• 0

• -1

• 2/3

• 7/3

Find  $\lim_{x\rightarrow\infty}\left(\frac{6x}{x-5}+\frac{7x}{x+5}\right)$  

•  $\infty$  

• 30

• 210

• 13