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Evaluate the piecewise function at the given values of the independent variable.

Evaluate the piecewise function at the given values of the independent variable.-example-1

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Answer:

Explanation:

Piecewise function 'f' has been given as,

f(x) = 4x + 3 when x < 0

(x + 7) when x ≥ 0

By using the piecewise function,

a). f(-2) = 4(-2) + 3 (Use f(x) = 4x + 3, since x = -2 is less than 0)

= -8 + 3

= -5

b). f(0) = 0 + 7 (Use f(x) = x + 7, since x = 0 is equal to 0)

= 7

c). f(1) = 1 + 7 (Use f(x) = x + 7, since x = 1 is greater than 1)

= 8

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