Which graphs represent functions that have inverse functions? FSP19610807651.jpgFSZ
europaparksn
Answered question
2021-11-22
Answer & Explanation
Ryan Willis
Beginner2021-11-23Added 15 answers
Step1
Given:
To Show:
Whether the given graph has an inverse or not.
Concept:
(i). A function (f) have inverse function if the function is bijective.
(ii). Horizontal Line Test:
(a). f is injective
each horizontal line intersect the graph at most once.
(b). f is surjective
each horizontal line intersect the graph at least once.
(c). f is bijective
each horizontal line intersect the graph exactly once.
Step 2 Explanation:
From above we have, every horizontal line intersect the graph at 3 places
therefore, from the Horizontal Line Test, we get that function is not bijective.
Hence, the inverse of the function doesnt
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