Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:

And we want to determine its average rate of change over the interval:

The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:


So, our endpoints are (1, -1) and (4, -4).
The slope between them is:

So, the average rate of change of <em>f(x)</em> over the interval 1 ≤ <em>x</em> ≤ 4 is -1.
So. We are going to take the first example which is -2. The rule is what your going to "plug" or put -2 into. So your equation should look like -2^2-5 (^2 is that exponent) put that into your calculator and you should get -9. That -9 is your Y value. Your -2 is your X value . So your ordered pair is (-2,-9) just repeat steps for -1, 0, and 1. Hope this helps!
It really depends on the cloth size man.
You have 3 yards and each piece of fabric needs to be 8inches long. Convert yards into inches. Divide it by 8.
3yds= 108 inches
108/8= 13.5
You can cut 13.5 pieces of fabric.
Have a good day :)
If you want to find the x-intercept, you replace y in the equation with 0 and solve the equation for x.
If you want to find the y-intercept, you replace x in the equation with 0 and solve the equation for y.
Example: