is the inverse of the function shown below also a function? explain your answer.
is the inverse of the function shown below also a function? explain your answer.
Answer
Explanation:
Step1: Recall the horizontal - line test
A function has an inverse that is also a function if and only if the original function is one - to - one. We can use the horizontal - line test to determine if a function is one - to - one.
Step2: Apply the horizontal - line test
If any horizontal line intersects the graph of the function at most once, the function is one - to - one. Looking at the given graph, any horizontal line will intersect the graph of the function at most once.
Answer:
Yes, the inverse of the function is also a function because the original function passes the horizontal - line test (any horizontal line intersects the graph of the function at most once), which means the original function is one - to - one.