x intercept

The x-intercept(s) of a function are the points at which the graph of the function intersect the x-axis. They are also referred to as zeros since the intersections are the points where the y-value of the function is equal to zero. The zeros of a polynomial are also referred to as roots.

How to find the x-intercepts of a function

The x-intercepts of a function are the points at which the function is equal to 0, or, using typical function notation, f(x) = 0 (also y = 0). Thus, given the equation of a function, setting the function equal to 0 and solving for x will yield the x-intercept(s) of the function.

Examples

Find the x-intercept of the following function: f(x) = x2 - 9

x2 - 9 = 0

x2 = 9

x = = ±3

Therefore, the function has x-intercepts at x = -3 and x = 3:
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