Absolute has more purpose than keeping the value of a function positive. It can transform a function into a piecewise function. To understand how absolute value function can turn into a piecewise function, you need to have a clear understanding of the absolute function and piecewise function. That is why, in this resource, we will cover the basics of absolute value and piecewise function and then how an absolute value function becomes a piecewise function.
Absolute Value Function
An absolute value function is a function that has an algebraic expression within the modulus. The modulus is a symbol of the absolute value function. Mathematicians use absolute functions to keep the value positive. There are some things that can't be a negative entity such as matter, volume, space, time, etc. To keep them in the positive range, mathematicians use the absolute value function. They are written like this:
Piecewise Function
Some functions behave differently with different inputs. It means that the function has some breakage point. From that point, the function behaves differently. However, we can't break the function but we can assume that the function works differently under those inputs. To solve that, mathematicians came up with a solution and that is to call it a piecewise function. A piecewise function is a type of function that is constructed on a sequence of intervals. For example,
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I get it somehow, there are others who are unfamiliar and I have a hard time with it but it’s okay that I get it.
Thanks for sharing your thoughts! It’s completely normal to find some parts unfamiliar or more difficult than others. The important thing is that you’re making progress and understanding more as you practise. Keep going! 😊
At least I understood some of it, but there are others that I’m confused about and have a hard time understanding, but I get it.
Thanks for sharing! It’s great that you’ve understood some of it already. Don’t worry if a few parts are still confusing — keep practising and take your time with the trickier sections. You’ll get there! 😊
The lesson was a little difficult for me, especially the word problems, but the examples helped me understand it better.
Thanks for your feedback! Word problems can definitely be tricky, so we’re glad the examples helped make the lesson clearer. Keep practising — it gets easier with time! 😊
Thankyouuu po