Function comes in all shapes and sizes. It means that every function is different than others. It also means that their graph will also be different. To make things easier, let's understand that we have divided the graphs into two types. One is the increasing function and another is the decreasing function. As the words tell you, increasing function means that their graphs are increasing, on the other hand, decreasing function means that their graphs are decreasing but at what rate? In this lesson, you will learn everything about increasing and decreasing functions.
Strictly Increasing Function
If the graph of the function is increasing at an increasing rate that means you have a strictly increasing function. There are two identifications of this graph, the first one is the curve going upwards. It means that the gradient (slope) of the graph will increase as you increase the value of x. The second identification is the big change in
. When you find the change (meaning difference of previous value from the next value), you will see that the change is increasing. These both indicate that you are dealing with a function that is increasing strictly.
Decreasing Function
Last but not least, for decreasing function, there are two parts, the first part is that there will be a constant decrease in function. We can say a linear decrease in the function for ascending values of x. The second part is the part where all the values of function will remain constant for ascending values of x.
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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