Of these three linear functions represented below, what has the greatest rate of change?

-Function 1: y=2x+6

-Function 2: (this is a table)

x|y

-1|3

1|15

2|21

-Function 3: a number y is less than half a number x.

A) Function 3 has greatest rate of change

B) Function 2 has the greatest rate of change

C) Function 1 has the greatest rate of change

D) All three functions have the same rate of change

*would like the steps to solve this also.

Question

Eduardo Pena

Mathematics

28 September, 01:56

Of these three linear functions represented below, what has the greatest rate of change?

-Function 1: y=2x+6

-Function 2: (this is a table)

x|y

-1|3

1|15

2|21

-Function 3: a number y is less than half a number x.

A) Function 3 has greatest rate of change

B) Function 2 has the greatest rate of change

C) Function 1 has the greatest rate of change

D) All three functions have the same rate of change

*would like the steps to solve this also.

+2

Answers (1)

Know the Answer?

Turner Wagner · Answer 1

Function 1 is 2x+6

df/dx=2 so the rate of change is 2

...

Function 2

dy/dx=21-15=6 so the rate of change is 6

...

Function 3

y
So Function 2 having a rate of change of 6 has the greatest rate of change.