Question

Consider the piecewise function h(x) defined as follows:

⎧-3x if x < 0
⎨-1/2x-1 if 0 ≤ x < 6
⎩x-7 if x > 6
What is the value of h(3)?

Answer 1

The value of h(3) is -2.5.

Step-by-step explanation:

To find the value of h(3), we need to determine which piece of the function h(x) corresponds to x = 3.

Since 0 ≤ x < 6 for this value, we will use the second piece of the function, which is -1/2x - 1.

Plugging in x = 3 into this equation, we get h(3) = -1/2(3) - 1 = -1.5 - 1 = -2.5.