Question

Which function has the greatest initial value?
Which function has the greatest rate of change?

Answer 1

First answer is C

Second answer is B

Explanation:

1. Initial value=Y intercept C(2)>A(0)>B(-1)
2. Rate of change is the greatest slope

Slope formula=y2-y1/x2-x1

• Function A

2-0/5-0=2/5x

y=2/5x

• Function B

y=3/1x (given)

• Function C

3-2/3-0

1/3

y=1/3x

• Look at the slopes and determine the greatest (Do conversions if necessary)

A=2/5x

B=3x

C=1/3x

A=6/15x

C=5/15x

B>A>C

• Answer

B