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function
matches each input to exactly one output.
Domain
means the allowed inputs.
Range
means the outputs you actually get.
independent variable
is the input.
dependent variable
is the output because it depends on the input.
Two functions are equal
they have the same domain
they give the same output for every input in that domain
function is increasing
on an interval if bigger inputs give bigger outputs.
function is decreasing
on an interval if bigger inputs give smaller outputs.
Concave up
rate of change is increasing, graph bends upward
Concave down
rate of change is decreasing, graph bends downward
zero
is an input where the output is 0.