0. Functions
Piecewise Functions
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Using the piecewise function below, evaluate
A
B
C
D
Verified step by step guidance1
Step 1: Analyze the piecewise function provided. The function is defined in three parts: (1) f(x) = 2x + 4 for x < 0, (2) f(x) = x^2 for 0 ≤ x < 2, and (3) f(x) = x^3 + 5 for x ≥ 2.
Step 2: Determine which part of the piecewise function applies to the given input x = 5. Since 5 is greater than or equal to 2, the third part of the function, f(x) = x^3 + 5, is applicable.
Step 3: Substitute x = 5 into the applicable part of the function, f(x) = x^3 + 5. This means you will calculate 5^3 + 5.
Step 4: Simplify the expression 5^3 + 5. First, calculate 5^3 (which is 5 multiplied by itself three times), then add 5 to the result.
Step 5: The simplified result will give you the value of f(5).
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