Question

FAN AND MEDAL

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

graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120

Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit?

Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent?

Answer 1

@triciaal yayy!!

Answer 2

do you know how to do this?

Answer 3

the x-intercept means y = 0
f(x) = 0 f(x) = profit
maximum value = highest y value = highest profit

Answer 4

so x-intercept means theres 0 profit?

Answer 5

vertex is at 3, 120 so when x = 3 y = 120
3 pens maximum profit $120

Answer 6

yes

Answer 7

ok and what about the increasing intervals?

Answer 8

question is asking how does y change as x changes

Answer 9

the more pens sold the higher the profit?

Answer 10

but aren't they asking for the intervals where the function is increasing and decreasing

Answer 11

up to the limit of 3 maximum
so x 0 to 3 increase

Answer 12

x more than 3 profit decrease

Answer 13

x more than 3 profit decrease ?

Answer 14

look at the graph

Answer 15

ohh ok

Answer 16

now part B

Answer 17

wait but what does the sale an profit represent when it increases and decreases

Answer 18

change in y divided by change in x

f(5) - f(3) divided by (5-3)

Answer 19

but what does the sale an profit represent when it increases and decreases

Answer 20

nvm that

Answer 21

but last question

Answer 22

what is the equation for the graph?

Answer 23

@triciaal ?

Answer 24

yes you tell me

Answer 25

i don't know how to make an equation for it