x-intercept
the x-coordinate of a point where a graph crosses the x-axis
An x-intercept is a point on the graph of a function where the graph intersects the x-axis. In other words, it is the point at which the value of y is zero. To find the x-intercept of a function, we set y equal to zero and solve for x using algebraic techniques. The resulting value(s) of x will give the x-coordinate(s) of the x-intercept(s) on the graph of the function.
For example, consider the function y = 2x – 4. To find the x-intercept, we set y equal to zero and solve for x:
0 = 2x – 4
Adding 4 to both sides, we get:
4 = 2x
Dividing both sides by 2, we obtain:
x = 2
Therefore, the x-intercept of the function y = 2x – 4 is (2, 0), which is the point where the graph of the function crosses the x-axis.
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