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01/03
Question 1: Evaluate .
Question 2: A quantity starts at and increases by each step. What is the growth factor?
Question 3: A culture of bacteria doubles every hour. If there are bacteria at hour , which function gives the number of bacteria after hours?
AlgebraBASIC

Exponential Growth and Decay Basics Quiz with Answers

Questions on exponential growth/decay, evaluating exponents, and factors, with explanations.

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Study Guide

Exponential Functions Quiz Preparation

This quiz covers exponential functions of the form f(x) = ab^x, including growth vs decay, transformations, and key properties.

Focus areas:

  • Identifying growth (b>1) vs decay (0<b<1)
  • Finding initial value and base
  • Horizontal asymptotes
  • Domain and range

Terms and Core Concepts (3)

Exponential Function


Function of form f(x) = ab^x.


Growth Factor


When b > 1, function shows growth.


Horizontal Asymptote


Line y=0 that graph approaches.

Frequently Asked Questions (FAQ)

Check the base b. If b>1 it's growth, if 0<b<1 it's decay.

When x=0, f(0)=a(b^0)=a. So (0,a) is the y-intercept.

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Exponential Growth and Decay Basics Quiz with Answers