Back to Prove growth properties of functions — Problem 2 · Task Set 49

HSF.LE.A.1.a Tutor Intake — Linear and Exponential Growth Properties

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Grade 9·12 problems·~15 min·Common Core Math - HS Functions·standard·hsf-le-a-1a

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Concepts

For the exponential function $g(x) = a \cdot b^x$ , which algebraic property
is the key tool for simplifying $g(x + d)$ ?

$b^{x+d} = b^x + b^d

$b^{x+d} = b^x \cdot b^d

$b^{x+d} = b \cdot (x + d)$

$b^{x+d} = b^{xd}$