Answer:
We can see that as the endpoints of the intervals increase, the average rate of change for a square root function decrease
Step-by-step explanation:
Take for example the following intervals:
- interval: 0 - 1, average rate of change: √1 - √0 = 1
- interval: 1 - 2, average rate of change: √2 - 1 = 0.414
- interval: 2 - 3, average rate of change: √3 - √2 = 0.317
- interval: 3 - 4, average rate of change: 2 - √3 = 0.267
Divide each set to see if the answers are identical:
A: 3/2 = 1.5
6/3 = 3
Answers are not the same so this is not proportional.
B: 20/4 = 5
24 /6 = 4
Answers are not the same so this is not proportional.
C: 27/9 = 3
81/27 = 3
Answers are the same so this is proportional.
D: 8/2 = 4
16/8 = 2
Answers are not the same so this is not proportional.
The answer is C.
Answer:
Yes, It is a factor
Step-by-step explanation:
<u>Step 1: Plug in -4 to see if it is a factor</u>
p(-4) = (-4)^3 - 4(-4)^2 - 17(-4) + 60
<em>p(-4) = 0</em>
<em />
<em><u>Since it is 0, that means that it is a factor.</u></em>
<em><u /></em>
Answer: Yes, It is a factor
