Calc01_5 - 1.5 Functions and Logarithms Golden Gate Bridge San Francisco CA Photo by Vickie Kelly 2004 Greg Kelly Hanford High School Richland

# Calc01_5 - 1.5 Functions and Logarithms Golden Gate Bridge...

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1.5 Functions and LogarithmsGreg Kelly, Hanford High School, Richland, WashingtonPhoto by Vickie Kelly, 2004Golden Gate BridgeSan Francisco, CA
A relation is a functionif:for each xthere is one and only one y.A relation is a one-to-oneif also: for each ythere is one and only one x. In other words, a function is one-to-one on domain Dif: (29(29fafbwheneverab
To be one-to-one, a function must pass the horizontal line test as well as the vertical line test.312yx=212yx=2xy=one-to-onenotone-to-onenot a function(also not one-to-one)
Inverse functions:(29112fxx=+Given an xvalue, we can find a yvalue.112yx=+112yx-=22yx-=22xy=-Switch xand y:22yx=-(29122fxx-=-(eff inverse of x)Inverse functions are reflections about y = x.Solve for x:
example 3:(292fxx=0xGraph:(29fx(291fx-yx=for0xa parametrically:211: 0fxtytt==1222: fxtyt-==33: yxxtyt===Y=WINDOWGRAPH
GRAPHWINDOWexample 3:(292fxx=0xGraph:(29fx(291fx-yx=for0