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Math assignment worksheet for identifying even and odd functions.

A math worksheet titled "4.2 Even and Odd Functions Corrective Assignment" with six problems asking students to determine algebraically whether each function is even, odd, or neither, with space to show work.

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ID: #334775

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Show Answer Key & Explanations Step-by-step solution for: 4 2 Even And Odd Functions Corrective Assignment Answer Key - Fill ...

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1. y = (1/4)x⁴ + 5
f(-x) = (1/4)(-x)⁴ + 5 = (1/4)x⁴ + 5 = f(x)
→ Even

2. y = x³ + 3x - 5
f(-x) = (-x)³ + 3(-x) - 5 = -x³ - 3x - 5
f(-x) ≠ f(x) and f(-x) ≠ -f(x)
→ Neither

3. y = x³ + 3x
f(-x) = (-x)³ + 3(-x) = -x³ - 3x = -(x³ + 3x) = -f(x)
→ Odd

4. f(x) = (x⁴ + 4)/(x² + 2)
f(-x) = ((-x)⁴ + 4)/((-x)² + 2) = (x⁴ + 4)/(x² + 2) = f(x)
→ Even

5. f(x) = 1 - 2x⁶
f(-x) = 1 - 2(-x)⁶ = 1 - 2x⁶ = f(x)
→ Even

6. f(x) = (12x)/x
For x ≠ 0, f(x) = 12
f(-x) = 12 = f(x)
→ Even

Parent Tip: Review the logic above to help your child master the concept of even and odd functions worksheet.

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