For Russi

What set up would be used to find the average rate of change of the function on the interval [0, 3]?

 $f\left(x\right)=3x+1$  

•  $f\left(3\right)-f\left(0\right)$  

•  $\frac{f\left(3\right)-f\left(0\right)_{ }}{3-0}$  

•  $3-0$  

•  $\frac{f\left(3\right)}{f\left(0\right)}$  

What is the average rate of change of the function on the interval [0, 3]?

 $f\left(x\right)=3x+1$  

A line that touches a given function at one point is called a _______ ____. The slope of the line is the same as the instantaneous rate of change on the interval [a, b].

• Infinite

• Jump

• removable

• Tangent

What is the instantaneous rate of change of the function at x = 2?

 $f\left(x\right)=x^2-2x$  

Find the instantaneous rate of change for f(x) at x = 2 for  $f\left(x\right)\ =-\frac{3}{4}x^4+2$  

• -24

• - $\frac{3}{2}$  

• 24

• - $\frac{3}{4}$  

f(x) = 3x² + 12x + 16

Estimate the instantaneous rate of change at x = -1.

• About 6

• About -6

• About 0

• About 5

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

• 18

• -9

• 9

• 3

• -4

• -1/4

• 3

• -2

Calculate the instantaneous rate of change of the function h(x) = 3x + 4 at x = 1.

• 7

• 3

• 10

• 2

Calculate the instantaneous rate of change of the function j(x) = 5x + 6 at x = 2.

• 11

• 5

• 15

• 3