Question

If a function is symmetric over the line x = 2, what kind of function could it be? A. absolute value B. cubic C. exponential D. rational

Answer 1

Answer:

A. Absolute value.

Step-by-step explanation:

We are asked to determine the type of function, if it is symmetric over the line $x=2$.

We know that a line of form $x=a$ represents an equation of a vertical line that crosses x-axis at point $(2,0)$ parallel to y-axis.

We know that a cubic function is symmetric about origin, while an exponential function has no symmetry.

A rational function is not necessarily symmetric to y-axis.

We know that an absolute value function is symmetric about y-axis, so our given function will be symmetric to the line $x=2$ and option A is the correct choice.