Back to Prove growth properties of functions — Problem 2 · Task Set 50

Exercises: Prove Growth Properties of Functions

Work through each section in order. For algebraic proofs, show each step clearly. Use variable expressions (not specific numbers) unless the problem asks for a numerical verification.

Grade 9·19 problems·~30 min·Common Core Math - HS Functions·standard·hsf-le-a-1a

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Fluency Practice

For $f(x) = -3x + 10$ , which expression correctly shows $f(x + 2) - f(x)$ ?

$-3(x + 2) + 10 - (-3x + 10) = -6$

$-3x + 2 + 10 - (-3x + 10) = 2$

$(-3x + 10) \cdot 2 = -6x + 20$

$-3(x + 2) - (-3x) = -6x - 6$