How to find out if a function has an inverse
Asked by admin @ in Mathematics viewed by 282 People
Does the graph represent a function that has an inverse function?
A. Yes
B. No
Answered by admin @
Answer: A. Yes.
Step-by-step explanation:
To find out if the function represented in the graph has an inverse function, you must apply the Horizontal Line Test, which is used to know if a function is a One-to-one function.
A one-to-one function is that function where each x value has an unique y value.
Therefore, if in the Horizontal Line Test, the horizonal intersects the graph of the function at only and only one point, then the function has an inverse function.
As you can see in the graph attached, the horizontal lines intersect the function at only one point, therefore, you can conclude that it is a One-to-one function and it has an inverse function.
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