Problem preview

F-IF.7.e Warmup M1-026-A05-V02

Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.

Describe end behavior of exponential decay

Problem

Describe the end behavior of the exponential decay graph \(g(x)=5(0.8)^x+2\).

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As x increases, g(x) grows without bound; as x decreases, g(x) approaches 2.

As x increases, g(x) approaches 0; as x decreases, g(x) grows without bound.

As x increases, g(x) approaches 2; as x decreases, g(x) also approaches 2.

As x increases, g(x) approaches 2; as x decreases, g(x) grows without bound.

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Curriculum context

Course: Math I
Standard: F-IF.7.e
Category: Functions
Domain: Interpreting Functions
Objective: Graph exponential functions and identify intercepts and end behavior; preview logarithmic and trigonometric graph features.
Problem type: Describe end behavior of exponential decay