20 terms

Composition

The combining of functions by using the result of one function to evaluate a second function

Continuous function

A function that can be graphed with no breaks, holes , or gaps.

Dilation

shrink/expand graph vertically/horizontally

Domain

the "x" values possible on a graph, the input values of a function

End behavior

describes what happens to the value of f(x) as x increases or decreases without bound

Even function

Function that is symmetric with respect to the y-axis

Extrema

the highest/ lowest points in a graph. (absolute maximum/minimum, relative maximum/minimum)

Function

A relation that assigns to each element in the domain exactly one element in the range

Interval notation

an expression that uses inequalities to describe subsets of real numbers

Inverse function

two functions f and f^-1 are inverse functions if and only if f[f^-1(x)] = x for every x in the domain of f^-1(x), and f[f^-1(x)] = x for every x in the domain of f(x)

Limit

concept of approaching a value without ever reaching it

Maximum

the highest point the most value of f(x) on a function

Minimum

the least value of f(x) on a function

Odd function

symmetric to x-axis

Parent function

Are the simplest function in the family of function. A function that is transformed to create other members n a family of functions

Range

values possible on a graph, the output values out of a function

Reflection

a transformation in which a mirror image of the graph of a function is produced with respect to a specific line

Relation

(x.y)

Secant line

the line through two points on a curve

Zeros

the x-intercepts of the graph of a function