Does the graph represent a function, why or why not ?

D. Yes, because it passes the vertical line test.

Step-by-step explanation:

First let's see what a horizontal line test and vertical line test.

Horizontal Line Test: A test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.

Vertical line test:  The function y = f(x) is a function if it passes the vertical line test. if we draw a vertical line it cuts the graph only one point on the graph, then it is a function or else it is not a function.

Here we want to find the given graph represents the function or not.

We have to use the vertical line test.

If we draw a vertical line, the line cuts only one point, the line not passing through more than one point.

Therefore, the given graph represents a function.

D. Yes, because it passes the vertical line test.

Thank you.

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