Question

ANSWER QUICK! MANY POINTS! NO WRONG ANSWERS PLEASE!

1. Use the table and the graph to answer the questions.

Function 1
x: -1 -2 -3 2 3
y: 3 5 7 -3 -5

Function 2
(see picture below)

a) What is the rate of change for each function? Show your work.
b) Which function has the greater rate of change?

Answer 1

#Function 1

• (-1,3)
• (-2,5)

Slope=

• m=5-3/-2+1
• m=2/-1
• m=-2

#Function 2

• (-1,0)
• (0,4)

Slope

• m=4/1
• m=4

Function 2 has greater rate of change

Answer 2

see below

Explanation:

Function 1

Find the slope

m = ( y2-y1)/ (x2-x1)

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

= ( -5-3)/(3+1)

= -8/4

= -2

Function 2

Using the points (0,4) and (-1,0)

m = ( y2-y1)/ (x2-x1)

m = ( 0-4)/(-1-0)

= -4/-1

= 4

The function with the greater rate of change is function 2