2.3 Getting Info from the Graph of a Function

Domain

Domain

The ___________ is the set of all x-values for which f is defined

Range

The _______ is the set of all y-values for which f is defined

Solution(s) of the equation

The ________ f(x) = g(x) are the values of x where the graphs of f and g intersect

Solution(s) of the inequality

The __________ f(x) < g(x) are the values of x where the graph of g is higher than the graph of f

Increasing

F is ________ on an interval I if f(a) < f(b) whenever a < b in I

Decreasing

F is _________ on an interval I if f(a) > f(b) whenever a < b in I

Local maximum value

The function value f(a) is a ________ of f if f(a) ≥ f(x) when x is near a

Local minimum value

The function value f(a) is a ___________ of f if f(a) ≤ f(x) when x is near a