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0108 Piecewise functions 8.26-2011 preceurre fumition: a function defined by multiple sub-functions, each of which applies to a certain interval of the main function's domain. f(x) = {1x+11 for xx=1 when x=-4 ²x+4 for xz1 f(-4)= 2 (-4) + 4 = -4 =4<-1 f(-1) = (-1) ² + 4 = 5 52-1 10 $85 0.80 +10 50> 0.70x+15 502 (x=100 127 f(3) = (3)² + 18 (3) + 1(014 (8) +192=6938-3 f(3) = 3(3)-9 10-30-3 = (3)3³-2(3)²-5 (3) +6 -9 √3²-9=073 6934-3 -340≤3 073
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Stefan S, iOS User
SuSSan, iOS User
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Pre-Calculus
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These notes focus on piecewise functions as covered in our Pre-Calculus class. It includes the application of Laplace transforms to piecewise and Heaviside step functions, solving absolute value piecewise functions, and examples of piecewise linear functions with detailed solutions, and using Desmos.
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Pre-Calculus
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I used a couple abbreviations in these notes, so I'll quickly define them! VA: Vertical Asymptote, HA: Horizontal Asymptote, UND: Undefined, LC: Leading Coefficient, ROC: Rate of change. Good luck! :)
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0108 Piecewise functions 8.26-2011 preceurre fumition: a function defined by multiple sub-functions, each of which applies to a certain interval of the main function's domain. f(x) = {1x+11 for xx=1 when x=-4 ²x+4 for xz1 f(-4)= 2 (-4) + 4 = -4 =4<-1 f(-1) = (-1) ² + 4 = 5 52-1 10 $85 0.80 +10 50> 0.70x+15 502 (x=100 127 f(3) = (3)² + 18 (3) + 1(014 (8) +192=6938-3 f(3) = 3(3)-9 10-30-3 = (3)3³-2(3)²-5 (3) +6 -9 √3²-9=073 6934-3 -340≤3 073
0108 Piecewise functions 8.26-2011 preceurre fumition: a function defined by multiple sub-functions, each of which applies to a certain interval of the main function's domain. f(x) = {1x+11 for xx=1 when x=-4 ²x+4 for xz1 f(-4)= 2 (-4) + 4 = -4 =4<-1 f(-1) = (-1) ² + 4 = 5 52-1 10 $85 0.80 +10 50> 0.70x+15 502 (x=100 127 f(3) = (3)² + 18 (3) + 1(014 (8) +192=6938-3 f(3) = 3(3)-9 10-30-3 = (3)3³-2(3)²-5 (3) +6 -9 √3²-9=073 6934-3 -340≤3 073
iOS User
Stefan S, iOS User
SuSSan, iOS User