Functions

Functions

1. Limits

   • Limit - the value that a function "approaches" as the input or index approaches some value
   • End Behavior Visual

2. Range

   • Output
     • The value that is returned from a function
       • The output is the "f(x)" in f(x) = 2x+1
   • End Behavior Definition
     • Behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

3. Domain

   • Vertical Asymptote
     • An x-value that a curve infinitely approaches, but never reaches
   • Input
     • The value that is entered into a function
       • The input is the "x" in f(x) = 2x+1

4. Extrema

   • Maximum
     • Relative Maximum - point at which the function shifts from increasing to decreasing
     • Absolute Maximum - The highest point over the entire domain of the function
   • Minimum
     • Relative Minimum - point at which the function shifts from decreasing to increasing
     • Absolute Minimum - The lowest point over the domain of the function

5. Symmetry

   • Even
     • A function that is symmetric with respect to the y-axis
   • Odd
     • A fuction that is symmetric with respect to the origin

6. Slope

   • Average Rate of Change
     • "change in the y-value divided by the change in the x-value for two distinct points on the graph"
   • Equation: y = mx + b

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