Graphing Characteristics

domain

The set of all the x-coordinates

range

The set of all y-coordinates

x-intercept

x values of the function such that the y-values equal to 0

y-intercept

is the point where the function intersects the y-axis

relative minimum

a specific area where the graph goes from decreasing to increasing

absolute minimum

the point where the y value of the graph reaches its lowest point over entire function

relative maximum

a specific area where the graph goes from increasing to decreasing

absolute maximum

the point where the y value of the graph reaches the highest point over entire function

Interval of Increasing

function is increasing as the x value increases

interval of decreasing

a function is decreasing when the y value decreases as the x value increases

End behavior

behavior of the graph as x approaches positive infinity or negative infinity.