Question

Describe the function over each part of its domain. State whether it is constant, increasing, or decreasing, and state the slope over each part. (5 points)

Answer 1

Pretty simple!

Explanation:

First, you need to know about exponential functions. They are like linear functions, but either increase or decrease their rate as they go further along the x-axis.

Linear functions take a simple form: Just a line. Not really much to it!

Their equation is:
`y=mx+b`

Yeah! Now onto Exponential Functions.

Exponential functions are very interesting. This could be that they are hard to solve sometimes, or that I spent over half a year studying them.

Their Graphs usually look like a line that keeps getting lower or higher as they progress.

Essentially, if they keep getting higher and higher(Y-axis wise), this means that they are increasing. Likewise, if they keep getting lower and lower, this means they are decreasing. Pretty simple, right?

Now, to state the slope over each part. To do that, I'm pretty sure you have to find two points that describe that area, use the formula for slope(Below), and I would think you are done.

`m=(y_(1) -y_(2) )/(x_(1) -x_(2))`

Hope this helps, and please correct me if I'm wrong!

Stay Safe!