What's the equation of the parabola that has its vertex at (4,–1) and a y-intercept at (0,7)?
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Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change =
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change =
=
= 30