Question

If f( x ) = x - 5, then match each of the following.

1 .
-6

2 .
-4

3 .
-5

4 .
3

5 .
0

6 .
-3


f(-1)

f(0)

f(1)

f(2)

f(5)

f(8)

Answer 1

1. f(-1)

2.f(1)

3.f(0)

4.f(8)

5.f(5)

6.f(2)

Explanation:

Answer 2

`f(-1)-------------\ \ \ \ -6\\\\f(0)-------------\ \ \ \ \ \ \ -5\\\\f(1)-------------\ \ \ \ \ \ \ -4\\\\f(2)-------------\ \ \ \ \ \ \ -3\\\\f(5)-------------\ \ \ \ \ \ \ \ \ 0\\\\f(8)-------------\ \ \ \ \ \ \ \ \ 3`

Explanation:

We are given a function f(x) by:

`f(x)=x-5`

It is a linear function with positive slope i.e. 1.

Also, now we will calculate the value of the function at different values of x and match the function to it's corresponding value.

a)

`f(-1)`

`f(-1)=-1-5\\\\i.e.\\\\f(-1)=-6`

b)

`f(0)`

Now when x=0 we have:

`f(0)=0-5\\\\i.e.\\\\f(0)=-5`

c)

`f(1)`

when x=1

`f(1)=1-5\\\\i.e.\\\\f(1)=-4`

d)

`f(2)\\\\f(2)=2-5\\\\i.e.\\\\f(2)=-3`

e)

`f(5)`

when x=5 we have:

`f(5)=5-5\\\\i.e.\\\\f(5)=0`

f)

`f(8)`

Put x=8

`f(8)=8-5\\\\i.e.\\\\f(8)=3`