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

A. Absolute value.

Step-by-step explanation:

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

We know that a line of form represents an equation of a vertical line that crosses x-axis at point 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 and option A is the correct choice.

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step-by-step explanation:

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.