Question

The table shows values for functions f(x) and g(x) . x f(x)=0.25x g(x)=−0.75x+1 −3 64 3.25 −2 16 2.5 −1 4 1.75 0 1 1 1 0.25 0.25 2 0.0625 −0.5 3 0.015625 −1.25 What is the solution to f(x)=g(x) ? Select each correct answer. x=−3 x=−2 x=−1 x = 0 x = 1 x = 2 x = 3

Answer 1

x=0 and x=1

Explanation:

Given : The table shows values for functions f(x) and g(x)

`f(x)=0.25x` and
`g(x)=-0.75x+1`

To find : What is the solution to f(x)=g(x) ?

Solution :

First we rewrite the table to find a solution:

x
`f(x)=0.25x`
`g(x)=-0.75x+1`

-3 64 3.25

-2 16 2.5

-1 4 1.75

0 1 1

1 0.25 0.25

2 0.625 -0.5

3 0.015625 -1.25

We have to find where is the solution to f(x)=g(x)

We see where the values of the function are the same:

For x=0,

f(x)=g(x)=1

For x=1,

f(x)=g(x)=0.25

Therefore, Option 4 and 5 x=0 and x=1 are correct.

Answer 2

First what we must do is rewrite the table to find a solution:
0.25^x −0.75x+1
64 3.25
16 2.5
4 1.75
1 1
0.25 0.25
0.0625 −0.5
0.015625 −1.25
We see where the values of the function are the same:
x = 0 (1)
x = 1 (0.25)
answer:
x = 0
x = 1