Question

Given the function (f(x) = 4|x-8|), calculate the following values:

a. f(0)
b. f(2)
c. f(-2)
d. f(x+1)
e. f(x^2 + 2)

Answer 1

The values of the function f(x) = 4|x-8| are calculated by substituting the given x values: for f(0) we get 32, for f(2) the result is 24, for f(-2) it's 40, for f(x+1) the expression simplifies to 4|x-7|, and for f(x^2 + 2) it becomes 4|x^2 - 6|.

Step-by-step explanation:

To calculate the values of the function f(x) = 4|x-8|, we substitute the given values into the function:

1. f(0) = 4|0-8| = 4|-8| = 4(8) = 32
2. f(2) = 4|2-8| = 4|-6| = 4(6) = 24
3. f(-2) = 4|-2-8| = 4|-10| = 4(10) = 40
4. f(x+1) = 4|x+1-8| = 4|x-7|
5. f(x^2 + 2) = 4|x^2 + 2-8| = 4|x^2-6|