Question

Which statement could be used to explain why the function h(x) =3 has an inverse relation that is also a function

Answer 1

Correct Question is:

Which statement could be used to explain why the function h(x) = x3 has an inverse relation that is also a function?

1. The graph of h(x) passes the vertical line test.

2. The graph of the inverse of h(x) is a vertical line.

3. The graph of the inverse of h(x) passes the horizontal line test.

4. The graph of h(x) passes the horizontal line test.

Step-by-step explanation:

Answer is Option 2: The graph of the inverse of h(x) is a vertical line.

A given expression in x i.e. y = f(x) will be a function if and only if there exists only one value of y that is true for every value of x. We will do the vertical line test for verification if the inverse of a function is a

If we plot f(x) and draw a straight line parallel to y-axis from a point x belonging to its domain and this line meets the curve at only one point then f(x) will be a function. This test is called vertical line test.

So if the graph of inverse of h(x) passes the vertical line test then the inverse of h(x) is also a function.