Question

Find f(4) for the function below.

f(x) = |x-7| + 3

Answer 1

Explanation:

f(x) = |x-7| + 3

when x is equal to 4, then

f(4) = |4-7| + 3

=-3+3

=0

Answer 2

`\boxed {\boxed {\sf f(4)= 6}}`

Explanation:

We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.

`f(x)= |x-7| +3`

Substitute 4 for x in the function.

`f(4) = |4-7| +3`

Solve inside the absolute value signs.

`f(4)= |-3|+3`

The absolute value of a number is its distance from 0 on a number line. It is always the positive version of a number, so the absolute value of -3 is 3.

`f(4)= 3+3`

Add.

`f(4)= 6`

For the function f(x)= |x-7| +3, f(4) is equal to 6.