K12worX
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
A

Fluency Practice

1.

For g(x)=3⋅2xg(x) = 3 \cdot 2^x, use the formula g(x+d)/g(x)=bdg(x + d)/g(x) = b^d with b=2b = 2 and d=4d = 4. What is the constant ratio g(x+4)/g(x)g(x + 4)/g(x)?