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X-Intercept Calculator

Find the x-intercept(s) of a function or equation. See the roots, calculation steps, and where the graph crosses the x-axis.

Function

y =

Try an example

x [-10, 10]

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What does this result mean?

Calculation steps

Additional properties

Root vs x-intercept

A root is the x-value where f(x) = 0. The corresponding point (x, 0) is the x-intercept.

What are x-intercepts?

X-intercepts are the points where a graph reaches y = 0 and meets or touches the x-axis. If you are solving an equation and need its real roots, enter the function and read each solution with the exact steps used to find it.

How to find an x-intercept

  1. Set the function equal to zero.
  2. Solve for x.
  3. Keep the real solutions.
  4. Write each solution as (x, 0).

For the current example

X-intercept FAQ

What is an x-intercept?

An x-intercept is a point where a graph crosses or touches the x-axis. Its y-coordinate is always zero.

How do you find the x-intercept?

Set the function equal to zero and solve for x. Each real solution gives an x-intercept (x, 0).

Can a quadratic have two x-intercepts?

Yes. A quadratic can have two distinct real x-intercepts, one repeated x-intercept, or no real x-intercepts.

Can an x-intercept be negative?

Yes. A negative x-intercept means the graph reaches the x-axis at a negative x-value.

What is the difference between a root and an x-intercept?

A root is the x-value that makes the function equal to zero. The x-intercept is the corresponding coordinate (x, 0).

Can a graph have no x-intercepts?

Yes. A function can remain entirely above or below the x-axis, so it has no real x-intercepts.