Back to Prove growth properties of functions — Problem 1 · 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

Work through problems with immediate feedback

Recall / Warm-Up

For $f(x) = 5x + 2$ , what is $f(x + 3)$ ?

$5x + 3 + 2 = 5x + 5$

$5(x + 3) + 2 = 5x + 17$

$5x + 2 + 3 = 5x + 5$

$(5x + 2) \cdot 3 = 15x + 6$