Show:
Features of Square Root Graphs
Features of Cube Root Graphs
Average Rate of Change
100

Where is the end point on the function?

f(x)=sqrt(x+2)

( -2 , 0 )

100

Sketch the function

f(x)=root(3)(x)

graph

100

Find the average rate of change from point A to point B.

Point A: (0, 3)

Point B: (4, 5)

(5-3)/(4-0)=2/4=0.5

200

Where is the end point on the function?

f(x)=-sqrt(x-1)

( 1 , 0 )

200

Where is the point of symmetry on the function?

f(x)=root(3)(x+2)-1

( -2, -1 )

200

Find the average rate of change from point A to point B.

Point A: (-1, 5)

Point B: (2, 8)

(8-5)/(2--1)=3/3=1

300

What is the domain of the function?

f(x)=-sqrt(x+3)

[-3, oo)

300

What is the domain of the function?

f(x)=root(3)(x+2)-1

(-oo, oo)

300

Find f(2) 

f(x)=sqrtx+2

f(2)=sqrt2+2=3.41

400

What is the range of the function?

f(x)=-sqrt(x+3)

(-oo, 0]

400

What is the decreasing interval for the function?

f(x)=root(3)(x+2)-1

none

400

Find the average rate of change on the interval 

[ -2 , 1]

f(x)=root(3)(x+3)-1

0.2

500

What is the decreasing interval of the function?

f(x)=-sqrt(x-2)

(2, oo)

500

What is the increasing interval for the function?

f(x)=root(3)(x+2)-1

(-oo,oo)

500

Find the average rate of change on the interval 

[ -2 , 1]

f(x)=sqrt(x+5)

0.24