Finding the x-intercept: Understanding the Intersection of a Function and the x-Axis

x-intercept

The x-intercept is a point on the graph of a function where the graph intersects the x-axis

The x-intercept is a point on the graph of a function where the graph intersects the x-axis. In other words, it is the value of x when the corresponding y-value is zero.

To find the x-intercept of a function, we set the y-value equal to zero and solve for x. Let’s take an example:

Consider the function f(x) = 2x – 3. To find the x-intercept, we set f(x) equal to zero:

0 = 2x – 3

To solve for x, we isolate the variable by adding 3 to both sides of the equation:

3 = 2x

Then, we divide both sides by 2 to solve for x:

x = 3/2

So the x-intercept of the function f(x) = 2x – 3 is 3/2. This means that the graph of the function intersects the x-axis at the point (3/2, 0).

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