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Key Equations

Key Equations

Composition of two functions (g∘f)(x)=g(f(x))(g∘f)(x)=g(f(x))
Absolute value function f(x)={−x,x<0x,x≥0f(x)={−x,x<0x,x≥0
Point-slope equation of a line y−y1=m(x−x1)y−y1=m(x−x1)
Slope-intercept form of a line y=mx+by=mx+b
Standard form of a line ax+by=cax+by=c
Polynomial function f(x)=anxn+an−1xn−1+⋯+a1x+a0f(x)=anxn+an−1xn−1+⋯+a1x+a0
Generalized sine function f(x)=Asin(B(x−α))+Cf(x)=Asin(B(x−α))+C
Inverse functions f−1(f(x))=xfor allxinD,andf(f−1(y))=yfor allyinR.f−1(f(x))=xfor allxinD,andf(f−1(y))=yfor allyinR.