Function f(x) does not have an inverse function, because its graph fails the horizontal line test.
Why was the vertical line test used?
The vertical line test is used to show whether the graph represents a function or not.
- If the vertical line crosses the graph at more than one point, then the graph does not represent a function.
- If the vertical line crosses the graph in only one point in different positions, then the graph represents a function.
Why was the horizontal line test used?
The horizontal line test is used to show whether the function has an inverse or not.
- If the horizontal line crosses the graph of a function at more than one point, then the function has no inverse.
- If the horizontal line crosses the graph of a function in only one point in different positions, then the function has an inverse.
The graph represents a parabola, which represents the function f(x)
Any horizontal line drawn will cross the graph in more than one point
f(x) has no inverse.
Hence, f(x) does not have an inverse function, because its graph fails the horizontal line test.
To know more about the Horizontal line test click the link given below.
https://brainly.com/question/17782317
