Question

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 $f(x) = |x|$

Choose the correct answer from the options given below:

Accepted Answer

C. By the vertical line test, a graph represents $y$ as a function of $x$ 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 $x$.

Graphs representing a function of x

Explanation

Practise this under exam conditions