Precalculus 5-15

Precalculus 5-15

1. Quadratic Functions

   • Quadratic Functions are functions with a degree of 2.
     • General Form is f(x)=ax^2+bx+c
     • Standard (Vertex Form) is f(x)=a(x-h)^2+k

2. Rational Functions

   • Rational Functions are a type of function with a denominator.
     • Rational Function is f(x)=p(x)/q(x)
     • Rational Functions will have asymptotes, vertical and/or horizontal.
       • Vertical asymptotes are found by setting the denominator to zero.
         • Canceling out will also create a vertical asymptote, which is called a hole.
       • Horizontal asymptotes are determined by the numerator and the denominators degree. If denominator > numerator, the y is 0. Else if the denominator < numerator, no horizontal asymptote is present. If its equal, divide f(x)=p(x)/q(x)

3. Exponential Functions

   • Exponential Functions are functions where the slope can rise or decay at a rapid rate
     • Exponential Form is f(x)=a*b^x

4. Logarithmic Functions

   • The inverse function of an exponential function
     • Logarithmic Functions are log_b(x)=y, or b^y=x