Question

I need graph help plz ​

Answer 1

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 =
`(f(b)-f(a))/(b-a)`

Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,

Average rate of change =
`(f(3)-f(1))/(3-1)`

=
`(120-60)/(3-1)`

= 30