C.<span>{(2,1),(4,3),(8,6)}</span>
To solve this, you have to know that the first derivative of a function is its slope. When an interval is increasing, it has a positive slope. Thus, we are trying to solve for when the first derivative of a function is positive/negative.
f(x)=2x^3+6x^2-18x+2
f'(x)=6x^2+12x-18
f'(x)=6(x^2+2x-3)
f'(x)=6(x+3)(x-1)
So the zeroes of f'(x) are at x=1, x=-3
Because there is no multiplicity, when the function passes a zero, he y value is changing signs.
Since f'(0)=-18, intervals -3<x<1 is decreasing(because -3<0<1)
Thus, every other portion of the graph is increasing.
Therefore, you get:
Increasing: (negative infinite, -3), (1, infinite)
Decreasing:(-3,1)
Answer:
I Believe the answer is 300
Step-by-step explanation:
75% of 200 is 150 and Nina also read 150 pages. They said Nina only read 50% of her book so that means there's 150 more pages left.
I Hope this helped and i explained it well enough for you to understand
(Correct me if i'm wrong)
Answer: Option 3.
Step-by-step explanation:
1. To simplify the expression shown in the problem, the first step is to apply the Distributive property, this means that you must multiply the number that are outside of the parentheses by the numbers inside of them.
2. Then, you have that the first step is:
3. Therefore, you can conclude that the correct answer is the third option.
