The output values of h(-8), h(1), h(3), and h(8) in the given piecewise function are 16, 3, 11 and 16 respectively.
What are the output values of h(-8), h(1), h(3) and h(8) in the given piecewise function?
Given the piecewise function in the question;
-4x - 16, for x < -7
- h(x) = { 3, for -7 ≤ x < 3
x + 8, for x ≥ 3
- h(-8) = ?
- h(1) = ?
- h(3) = ?
Determine the output value of h(-8), -8 falls in the domain of x < 7,
Hence;
h(x) = -4x - 16
h(-8) = -4(-8) - 16
h(-8) = 32 - 16
h(-8) = 16
Determine the output value of h(1), 1 falls in the domain of -7 ≤ x < 3,
Hence;
h(x) = 3
h(1) = 3
Determine the output value of h(3), 3 falls in the domain of x ≥ 3,
Hence;
h(x) = x + 8
h(3) = 3 + 8
h(3) = 11
Determine the output value of h(8), 8 falls in the domain of x ≥ 3,
Hence;
h(x) = x + 8
h(8) = 8 + 8
h(8) = 16
Therefore the output values of h(-8), h(1), h(3), and h(8) in the given piecewise function are 16, 3, 11 and 16 respectively.
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