The function f(x)equalsx squared plus 3 x minus 10 models the area of a rectangle.

a. Describe the length and width of the rectangle in terms of x.

b. What is a reasonable domain and range for the situation? Explain.

Step-by-step explanation:

The function f(x)equalsx squared plus 3 x minus 10 models the area of a rectangle.

factor the right side of the expression to find length and width

product is -10

and sum is +3

Area of the rectangle is f(x)

Area = length times width

Length is x+5

width is x-2

the value of x  cannot be negative

width is x-2, so x should be greater than 2

Domain is x>2

range is all positive values of y that is area

so range is f(x)>0

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value