Question

For the piecewise function, find the values h(- 5), h(0), h(1), and h(4).

Answer 1

• h(-5) = 2
• h(0) = 1
• h(1) = 3
• h(4) = 6

Explanation:

You want the value of the piecewise function for various values of x.

Piecewise function

The first step in evaluating a piecewise function is determining which domain is applicable to the value of x you have. Then you use the corresponding function, evaluating it in the usual way.

h(-5)

For x = -5, the applicable domain is x < -3, so the function is ...

h(-5) = -4(-5) -18 = 20 -18

h(-5) = 2

h(0)

For x = 0, the applicable domain is -3 ≤ x < 1, so the function is ...

h(0) = 1

h(1), h(4)

For x = 1 or 4, the applicable domain is x ≥ 1, so the function is ...

h(1) = 1 +2 = 3

h(4) = 4 +2 = 6

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