Question

Create a real life scenario in which you show how you interpret key features of functions and graphs such as slope and y-intercept?

Answer 1

Do you have anything, thus far?

Answer 2

I do not.

Answer 3

Hm, are we allowed to use 'advanced' techniques or is this basic Algebra?

Answer 4

If it's a basic format, linear graphs are probably best; though, we can also use exponentially increasing/decreasing slopes.

As far as a scenerio goes, a simple company making a profit of \( \sf f(x) = y = mx + c; \) wherein the slope is the increasing, or decreasing, rate at which it's growing. C is the constant -- where it started.

We can use quadratics, if you wish as well

Answer 5

It's pretty basic Algebra but I'll just dumb it down a bit and just add that a company uses linear graphs and the slope formula to figure out if they are gaining or losing profits.

Answer 6

Ah. Then yes, if you wish to make it a scenario with a decreasing profit, use a negative slope. The constant can be seen as a story, sort of -- with what they started.

Hm, how about: C(x) = 7x + 13?

The rate increase +7 each x interval. The "x" can be months or day, whichever you chose. Keep in notion that this can be crafted into a memory story.

Answer 7

Key features of the graph in this basic graph are:

X-Intercept
Y-Intercept -- beginning(s)
Slope

Answer 8

Of course, you can go further to use the Rate of Change. Though, that's about it since it's a basic function