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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
A

Fluency Practice

1.

For f(x)=4x+7f(x) = 4x + 7, use the formula f(x+d)−f(x)=mdf(x + d) - f(x) = md with m=4m = 4 and d=5d = 5. What is the constant difference f(x+5)−f(x)f(x + 5) - f(x)?