Question

Use the given information to write the indicated form of the function

i need help learning how to solve this D:

Answer 1

The piecewise equation are;

f(x) =

9 for x ≤ -1

6 for -1 < x ≤ 0

3 for 0 < x ≤ 1

0 for 1 < x ≤ 2

3 for 2 < x ≤ 3

6 for 3 < x ≤ 4

How to write piecewise equation

Based on the given data points, construct a piecewise equation that represents the relationship between x and f(x).

Let's break it down into different intervals:

For x ≤ -1:

f(x) = 9

For -1 < x ≤ 0:

f(x) = 6

For 0 < x ≤ 1:

f(x) = 3

For 1 < x ≤ 2:

f(x) = 0

For 2 < x ≤ 3:

f(x) = 3

For 3 < x ≤ 4:

f(x) = 6

To summarize the piecewise equation:

f(x) =

9 for x ≤ -1

6 for -1 < x ≤ 0

3 for 0 < x ≤ 1

0 for 1 < x ≤ 2

3 for 2 < x ≤ 3

6 for 3 < x ≤ 4

This equation represents different values of f(x) based on the given intervals of x.