# Test Sheet.docx - Domain What numbers fit into a function...

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Domain: What numbers fit into a function • The denominator (bottom) of a fraction cannot be zero • The number under a square root sign must be positive in this section Range: is the resulting y-values after substituting all the possible x-values • The range of a function is the spread of possible y-values • Make sure you look for minimum and maximum values of y. Logarithms: What we say that the log a x = y a y = x log b C D = log b C + log b D log b C D = log b C log b D log b C D = log b C + log b D log b C D = D log b C log b b = 1 log b 1 = 0 log b b n = n log b a = , is undefined if a is negative. log b 0 = , is undefined for any base b Natural Logs: ln e = y log e e = y ln e = 1 ln 1 = 0 ln 1 e 2 = ln e 2 ln ( a b )= ln a + ln b ln a b = ln a ln b ln e x = x ln e ln 0 = ¿ , undefined ln e = ¿ , undefined (x 0) Graphs and Formulas Slope ( m ) = Rise Run = ∆ y ∆ x • Lower left Upper Right (Positive Slope)
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