Idon’t understand if you could explain that would be great for me

Think of the doghouse as being a rectangular prism bottom and a triangular prism on top.

volume of prism: area of the base * height

Rectangular prism:

The base is a square 4.5 ft by 4.5 ft.

The height is 3.0 ft.

volume = 4.5 ft * 4.5 ft * 3.0 ft = 60.75 ft^3

Triangular prism:

The triangle facing the front is the base. The height is the depth, 4.5 ft.

For the triangle, the area is bh/2, where b = 4.5 ft, h = 1.5 ft

volume = bh/2 * height

volume = 4.5 ft * 1.5 ft / 2 * 4.5 ft = 15.1875 ft^3

Total volume = 60.75 ft^3 + 15.1875 ft^3

Total volume = 75.9375 ft^3

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.