Question

The first picture is the information to answer the questions and the second picture is the questions.

Answer 1

(6) The function is given as

`y=-x^2+10x-21`

The domain is determined from the x-axis. Let us look at the graph of the function

From the graph, the domain should have been all real numbers. But because we have been told the river is 50 feet wide, so the domain should not exceed 50. In short the domain should be between 0 to 50.

hence the domain is

`\left\lbrack0,50\right\rbrack\text{ }`

The range is determined from the y-axis. Now we are taking the river to be from y = 0. That is negative values of y are not included.

so the range is from 0 to 4 from the vertical or y-axis.

Hence the range is

`\left\lbrack0,4\right\rbrack\text{ }`