Inverse curve

Imagine a big long slide at the playground. Sometimes the slide goes straight down, sometimes it goes up a little and then goes down, and sometimes it goes up a lot and then comes back down. When we talk about curves, we're talking about the shape of this slide.

Now, imagine that we want to draw a picture of this slide on a piece of paper. If we just draw a line that goes straight across the paper, it won't look like the slide at all because the paper is flat and the slide goes up and down. So we have to make the line curve to show the shape of the slide.

When we talk about an inverse curve, we're talking about a special kind of curve that goes up slowly at first, then starts going up faster and faster as it goes along. It's like the slide starts off not very steep, but then gets really steep all of a sudden.

This kind of curve is important in math because it shows a relationship between two things that is getting stronger and stronger as one thing gets bigger. For example, if we plotted the price of a product against the number of sales, we might see an inverse curve because as the price goes up, people buy fewer of the product - but the people who do buy it are willing to pay more for it, so the price is also going up. This creates an inverse curve that shows us how the price and sales of the product are related.