CAT 2021 Functions — Previous Year Question

Which of the following graphs represent the function of x?

Graph A: a smooth horizontal wavy curve crossing the x-axis a few times near the origin (like a portion of a sine wave lying on its side, extending along the x-axis).

Graph B: a vertical S-shaped squiggle lying entirely to the right of the y-axis, oriented vertically (it curves back on itself along the y-direction rather than the x-direction).

Graph C: a circle of radius 3 centered at the origin, labeled f(x) on the y-axis.

Graph D: a V-shape made of two rays starting from the origin, one going up-left and one going up-right (like y = |x|).

Choose the correct answer from the options given below: