12 terms

Function notation

is a way to represent equations algebraically that makes it more efficient to recognize the independent and dependent variables

exponential functions

includes functions of the form f(x)= a * bx, where a and b are real numbers, and b is greater than 0 but is not equal to 1.

linear piecewise functions

includes functions that have an equation that changes for different parts, or pieces, of the domain.

increasing function

when both the independent and dependent variables of a function increase across the entire domain, the function is

absolute maximum

if there is a point on its graph that has a y coordinate that is greater than the y-coordinates of every other point on the graph

function family

is a group of functions that share certain characteristics

linear absolute value functions

includes functions of the form f(x) = a|x + b| + c, where a, b, and c are real numbers, an da is not equal to 0.

decreasing function

when the dependent variable of a function decreases as the independent variable increases across the entire domain, the function is called a

quadratic

includes functions of the form f(x) = ax2 + bx + c, where a, b, and c are real numbers, and a is not equal to 0

linear function

functions of the form f(x) = ax + b, where a and b are real numbers, and a is not equal to 0

constant function

if the dependent variable of a function does not change or remains constant over the entire domain, then the function is called

absolute minimum

if there is a point on its graph that has a y-coordinate that is less than the y-coordinates of every other point on the graph.