Question

The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the company:


Part A: What do the x-intercepts and maximum value of the graph represent?


Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?


Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?

Answer 1

that's the graph^

Answer 2

part A like what it shows on the graph, think it's like a graph with dots or bar graph when you put how much you your making money wise as the y and time wis as the x, does that help?

Answer 3

A
x-intercept represents the sale price x=0,x=6
when the sale price is 0 or 6 ,profit is 0.
Maximum profit =120 and is obtained when cost price=3
B.
graph is increasing in\[ 0<x \leq ~3\]
as the sale increases from 0 to 3,profit also increases from 0 to 120 dollars
graph is decreasing in \[3 <x \leq 6\]
as the sale price increases from 3 to 6,profit decreases from 120 dollars to 0
C.
average rate of change fromx=1 to x=3 is
\[=\frac{ 120-61 }{ 3-1}=\frac{ 59 }{ 2}=29.5\]