Problem preview

F-LE.3 Warmup M1-032-A06-V02

Use graphs/tables to see that exponential growth eventually exceeds linear, quadratic, and polynomial growth.

Find the first interval where exponential values overtake comparison values

Problem

Use the displayed comparison table. Identify the first consecutive-input interval where the exponential values become larger than the other function's values.

Answer choices

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x = 6

between x = 4 and x = 5

between x = 3 and x = 4

between x = 5 and x = 6

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Curriculum context

Course: Math I
Standard: F-LE.3
Category: Functions
Domain: Linear, Quadratic, and Exponential Models
Objective: Use graphs/tables to see that exponential growth eventually exceeds linear, quadratic, and polynomial growth.
Problem type: Find the first interval where exponential values overtake comparison values