Question

The function y = -2(x-3)^2+4 shows the daily profit (in hundreds of dollars) of a hot dog stand, where x ist the price of a hot dog (in dollars). Find and interpret the zeros of this function

Answer 1

The answer in the procedure

Explanation:

we know that

The zeros of the function are the values of x when the value of y is equal to zero

In this problem

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero

we have

`y=-2(x-3)^(2)+4`

using a graphing tool

The zeros of the function are

x=$1.59, x=$4.41

so

for these prices the daily profit are zero

see the attached figure