Consider the two functions. which statement is true? a) function 1 has a greater rate of change by 2 b) function 2 has a greater rate of change by 2 c) function 1 has a greater rate of change by 3 2 d) function 2 has a greater rate of change by 3 2

D.  Function 2 has a greater rate of change by  

3

2

Step-by-step explanation:

Function 2 has a greater rate of change by  

3

2

m =  

y2 − y1

x2 − x1

Function 1 has a slope of  

1

2

.

x-int = (−4, 0)

y-int = (0, 2)

m =  

2 − 0

0 − (−4)

=  

2

4

=  

1

2

Function 2 has a slope of 2.

m =  

5 − 3

3 − 2

=  

2

1

= 2

thus,

2 −  

1

2

=  

4

2

−  

1

2

=  

3

2