Question

For each function shown:

Name the starting point.
Explain how y changes as x increases.
Function #1: y = 0.5 + 3x
Function #2: y = 3(0.5)x

Answer 1

Given:

Function 1 :
`y = 0.5+3x`

Function 2:
`y = 3(0.5)x`

To find the starting point in each functions:

In function 1;

for x =0

`y = 0.5+3(0)` = 0.5

(0, 0.5) is the starting point

In function 2;

for x =0

`y = 3(0.5)(0)`= 0

(0, 0) is the starting point.

Explain how y changes as x increases.

In Function 1:

`y = 0.5+3x`

As x increases, y gradually increases by adding 3.

In Function 2:

`y = 3(0.5)x =(3)/(2)x`

As x increases, y gradually decreases by dividing by 2.