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MAT_1143-apr_27 - Click to edit Master subtitle style...

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Click to edit Master subtitle style April 27, 2011 Sections 7.4-7.6
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Compare Power to Exponential Use grapher to study y = x2, y = 2x Use grapher to study y = x10, y = 1.01x The exponential grows faster, eventually This is ALWAYS the case, regardless the size of the power in the power function or the size of growth factor in exponential. Notice where the variable is In exponent for exponential In the base for power function
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Power Function Negative powers? POWER FUNCTION: y = kx-p, where k and p are constants y = k/xp We say y is inversely proportional to xp k is the constant of proportionality
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Examples Intensity of light is inversely proportional to the square of the distance Force of gravity is inversely proportional to the square of the distance
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What property does it have? f(x) = kx-p f(mx) = k(mx)-p = k m-p x-p = m-p kx-p =m-p f(x) This is the property we will look for in a table to decide if we have a power function with a negative power
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Is this
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