We can create functions that behave differently based on the input (x) value. A function made up of 3 pieces. when x is less than 2, it gives x2,.

A function is continuous when its graph is a single unbroken curve ... that you could draw without lifting your pen from the paper.

A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.

This is the Absolute Value Function: f (x) = x. It is also sometimes written: abs (x). This is its graph: f (x) = x.

In its simplest form the domain is all the values that go into a function, and the range is all the values that come out.

The inverse of f (x) is f -1 (y) We can find an inverse by reversing the "flow diagram" Or we can find an inverse by using Algebra: Put "y" for "f (x)", and Solve for x We may need to restrict the domain for …

To evaluate a function is to: Replace (substitute) any variable with its given number or expression. Like in this example:

A function is increasing when the y-value increases as the x-value increases, like this: It is easy to see that y=f(x) tends to go up as it goes...

Function Composition is applying one function to the results of another: The result of f() is sent through g().

Also known as College Algebra. So what are you going to learn here? You will learn about Numbers, Polynomials, Inequalities, Sequences and Sums,...