Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?
the graph of h(x) passes the vertical line test.
the graph of the inverse of h(x) is a vertical line.
the graph of the inverse of h(x) passes the horizontal line test.
the graph of h(x) passes the horizontal line test.

The correct answer is:

The function h(x) passes the horizontal line test.

Step-by-step explanation:

We are given a function h(x) as:

Since h(x) is a function also for it's inverse to exist the function h(x) should be 1-1 and onto i.e. it passes the 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 )

The graph of h(x) is 1-1 also it is onto as corresponding to every value of x^3 we have a preimage i.e. a value of x.

Hence, option D is correct.

The function h(x) passes the horizontal line test.

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

56

step-by-step explanation: