GATE CS 2016 Set 2 — Question 10
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Engineering Mathematics → Sets & Combinatorics → Sets, Relations & Functions
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Question
Choose the correct expression for given in the graph.
Correct answer
(C) f(x) = 2 - x - 1
Solution
The graph shows a function which is a triangular wave with a peak. From the graph, we can observe key points:
(A)
(B)
(C) (Matches)
(D) (Matches)Now let's test with the point :
(C) (Matches)
(D) Thus, the correct expression is .
1.The peak is at , so .
2.The x-intercepts are at and , so and .
Let's test the options with the peak point :(A)
(B)
(C) (Matches)
(D) (Matches)Now let's test with the point :
(C) (Matches)
(D) Thus, the correct expression is .
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