Non Linear Functions

Non Linear Functions

1. Quadratic Functions

   • Standard form
   • Vertex is the "lowest" or the Highest point on the Parabola
   • What is Parabola
     • A u-shaped curve with certain specific properties. Formally, a parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus of points such that the distance to the focus equals the distance to the directrix.

2. Exponential Functions

   • f(x) = a* is any value greater than 0 (*=x)
   • Law of Exponents
   • Properties depend on value of "a" • When a=1, the graph is a horizontal line at y=1
     • a between 0 and 1
     • a above 1

3. Logarithm Functions

   • a is any value greater than 0, except 1
     • Properties depend on value of "a" When a=1, the graph is not defined
       • a between 0 and 1
       • a above 1

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