Algebra - Functions, Domain/Range, Intercepts

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

To find the x-intercept, set y=0 in the function and solve for x.

To find the y-intercept, set x=0 in the function and solve for y.

The domain is the set of all possible input values (x-values) for the function.

The range is the set of all possible output values (y-values) that the function can produce.

A function is increasing if, as x increases, the value of f(x) also increases.

A function is decreasing if, as x increases, the value of f(x) decreases.

Function notation is a way to represent functions using symbols, typically written as f(x), g(x), etc.

To evaluate a function at a specific point, substitute the value of x into the function and simplify.