I beg for someone. I need a maximum, minimum, domain, and range of polynomial:
1 answer:
Answer:
- domain: all real numbers, (-∞, ∞)
- range: all real numbers, (-∞, ∞)
- maximum: +∞
- minimum: -∞
Step-by-step explanation:
The function is an odd-degree polynomial. The domain and range of any odd-degree polynomial is (-∞, +∞). It has no finite maximum or minimum.
There are 3 local maxima, and 3 local minima. The ones that are non-zero are irrational. Those are about -150.018, -580.455, and 578.545. If you're seriously expected to solve for these values, no doubt you have been given a method for doing so. Use that method.
These local extreme values are reported by the Desmos on-line graphing calculator.
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Answer:
$14
Step-by-step explanation:
The revenue from sales of fans is the product of the number of fans sold and the price at which they are sold:
R(p) = n·p = (1960-70p)p
R(p) = 70(28 -p)p
This equation describes a parabola that opens downward and has zeros at p=0 and p=28. The axis of symmetry is halfway between those zeros, at p=14. It goes through the vertex or point of maximum revenue.
The price for maximum revenue is p = 14 dollars.
