Graphs representing a function of x
CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Functions
Which of the following graphs represent the function of x?
(A) A curve that passes the vertical line test (B) A vertical-S shaped curve failing vertical line test (C) A circle centered at origin (D) A V-shaped graph
Choose the correct answer from the options given below:
- A.
(A), (B) and (C) only
- B.
(A), (B) and (D) only
- C.
(A) and (D) only
- D.
(A) and (C) only
Answer
C
Explanation
By the vertical line test, a graph represents as a function of if and only if no vertical line intersects the graph at more than one point.
- Graph (A) and Graph (D) pass the vertical line test.
- Graph (B) and Graph (C) intersect vertical lines at multiple points, failing the test.
Thus, only (A) and (D) represent functions of .
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