Answer:
The derivative is

Step-by-step explanation:
The function is given by

Differentiate with respect to x, we get

The term of the sequence is eleven 11
Answer:
The rule that represents the function is
therefore the function is 
Step-by-step explanation:
We have 5 ordered pairs in the plane xy. This means that <em>every pair has the form (x, y).</em>
Then, we have 5 values of x, which will give us 5 values of y, using the rule that represents the function.
<u>The easy evaluation is that when x=0, the value of y is y=1,</u> and then we can evaluate the rule for x=-1, and x=1, <em>the value of y is the same, y=2</em>. We can see here that we have a parabolic function, that is not centered in the origin of coordinates because when x=0, y=1.
So <u>we propose the rule </u>
<u> which is correct for the first 3 values of x.</u>
Now, <em>we evaluate the proposed rule when x=2, and when x=3</em>. This evaluations can be written as


Therefore, the rule is correct, and the function is

First, we must convert the total miles into kilometers. If there are 1.609 kilometers in one mile, then 26.219 miles equals 42.3 kilometers. We then divide by the total minutes (128) to get the speed in kilometers per minute which should be 0.32 or 0.3 kilometers per minute.