A piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the function may have a different equation or rule that describes it. We can graph a …

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f (x) where f (x) = -9 when -9 < x ≤ -5, f (x) = 6 …

We learn that to find one-sided and two-sided limits, we need to consider the function definition for the specific interval we're approaching and substitute the value of x accordingly.

A piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the function may have a different equation or rule that describes it. We can …

Piecewise functions piece together different functions. Absolute value graphs make a V shape, but why do they do that? Let's explore how to make some new and interesting types of graphs. …

But, sometimes the limit value does not equal the function value. Whenever you're dealing with a piecewise function, it's possible to get a graph like the one below.

You may probably recognise the shape of the graph of a √x function, but even if you had never seen one, you know for example that the function will not increase as steeply as x³ for large …

Try to remember this: it's counter-intuitive. If it's -x, the graph is shifted right. if it's positive x, it's shifted to the left. Hope this helps you remember better!

This topic covers: - Evaluating functions - Domain & range of functions - Graphical features of functions - Average rate of change of functions - Function combination and composition - …

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