Review of Exponential Functions

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Review of Exponential Functions

• Math 1131, Summer 2005
• Dr. Howard

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Base Larger Than One
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A Base Still Larger
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Base Smaller Than One
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Props. When Base gt 1

• Increasing on
• Concave up
• y-intercept at (0,1)
• Horiz. Asymp y 0

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Props. When 0 lt Base lt 1

• Decreasing on
• Concave up
• y-intercept at (0,1)
• Horiz. Asymp y 0

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Note to students

• If you dont remember them, be sure to review the
  laws of exponents

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Comparing x2 and 2x
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Look at an Application

• Well examine radioactive decay
• Others include
• Compound interest
• Population growth
• Tumor growth
• Some computer algorithms