Calculus Volume 1

# Key Equations

Calculus Volume 1Key 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 $f−1(f(x))=xfor allxinD,andf(f−1(y))=yfor allyinR.f−1(f(x))=xfor allxinD,andf(f−1(y))=yfor allyinR.$
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