Function
A mathematical relation that maps input values to output values, where the input values are the domain and the output values are the range.
Inflection Point
A point on a curve where the concavity changes from up to down or down to up.
x-intercepts
The solutions of f(x)=0, represented as (x,0) on the graph of f.
y-intercepts
The value of f at x=0, represented as (0,y) on the graph of f.
Average Rate of Change (AROC)
The slope between two points on a graph of f(x).
Instantaneous Rate of Change
The rate of change at a specific point using small intervals.
Polynomial Function
A function that is a monomial or a sum of monomials.
Turning Point
A point where a function changes direction.
End Behavior
The direction of a function's graph as you move away from the origin.
Relative/Local Extrema
Points on a function's graph where it changes from increasing to decreasing or vice versa.
Absolute/Global Extrema
The highest or lowest y-values on a function's graph.
Odd Function
A function that satisfies f(-x)=-f(x) and passes through the origin.
Even Function
A function that satisfies f(-x)=f(x) and is symmetric about the y-axis.
Complex Conjugate
If (a+bi) is a factor, then (a-bi) is also a factor.