On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (1.5, 0). determine the domain and range of the given function. the domain is . the range is .

The domain is {x|x : x ∈ R}.

The range is  {y|y: y∈R}.

Step-by-step explanation:

A domain is a set of all input values (i.e. independent variable).

A range is a set of all output values (i.e. dependent variable).

Usually independent variable are denoted as x and dependent variable as y.

Given : On a coordinate plane, a curved line crosses the x-axis at (negative 1.5, 0), the y-axis at (0, negative 2), and the x-axis at (1.5, 0).

Since for any straight line , there exist a unique y values to each and every x-value.

The domain and range of a straight line is given by :-

Domain= {x|x : x ∈ R}

Range = {y|y: y∈R}

Domain is (-1.5, 0, 1.5)

Range is (-2, 0)

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2