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motikmotik
3 years ago
5

Find the intervals on which the function is increasing or decreasing.

Mathematics
1 answer:
Assoli18 [71]3 years ago
6 0
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)
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Answer:

33% chance

Step-by-step explanation:

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8 0
3 years ago
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       As long as you keep y = -\frac{5}{2}x + b, you can input anything for b to solve this question.

       Given:

y = -\frac{5}{2}x - 5

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     Example answer you can use:

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6 0
2 years ago
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Step-by-step explanation:

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3x = 10                   Divide by 3

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4.1

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