## x-intercept

### In mathematics, the x-intercept refers to the point where a graph of a function intersects the x-axis

In mathematics, the x-intercept refers to the point where a graph of a function intersects the x-axis. It is the value of x for which the corresponding y-coordinate is 0. At the x-intercept, the graph crosses the x-axis, and the y-coordinate of the point is 0.

To find the x-intercept of a function, we need to set the y-value to 0 and solve for the corresponding x-value. This can be done by setting the function equal to zero and solving for x. Let’s consider an example.

Suppose we have the equation of a function as follows:

y = 3x – 6

To find the x-intercept, we set y = 0:

0 = 3x – 6

Now, we can solve for x by isolating it on one side of the equation:

3x – 6 = 0

3x = 6

x = 2

So, the x-intercept of the function y = 3x – 6 is (2, 0), meaning that the graph of this function crosses the x-axis at x = 2.

It’s important to note that not all functions will have x-intercepts. Some functions might not cross the x-axis and may only touch or approach it. In such cases, we say that the function has no x-intercept. Additionally, some functions may have multiple x-intercepts if the graph crosses the x-axis at multiple points.

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