Back to Prove growth properties of functions — Problem 3 · 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

A linear function $f(x) = mx + b$ has slope $m$ . What does slope represent?

The starting value when $x = 0$ .

The constant rate of change — how much $f$ increases per unit increase in $x$ .

The $y$ -value at the maximum.

The ratio of consecutive outputs.