EXPONENTIAL EQUATIONS

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9 Terms

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What is an exponential equation?

An equation where the exponent has a variable.

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Domain

All real numbers

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Range

(0, +infinity)

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Horizontal Asymptote

x-axis, y = 0

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Vertical Asymptote

None

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y intercept

(0, 1) → f(0) = 1, f(1) = b

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RULES

y = b^x

  1. b cannot be 1

  2. b > 0

  3. b cannot be a variable

  4. the exponent needs to have a variable

  5. base increases → graph is closer to y (growth)

  6. b approaches 0 → closer to x (decay)

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2^12/7

^7 radical(2^12)