## See where f(x) crosses x-axis.Set f(x) equal to zero.

### Find the zeros of a function.

To find where the function f(x) crosses the x-axis, we need to look for the values of x where f(x) equals zero. This is because the x-axis represents the line where y (or f(x)) equals zero.

The steps to find where f(x) crosses the x-axis are:

1. Set f(x) equal to zero:

f(x) = 0

2. Solve for x:

0 = f(x)

x= value(s) where f(x) equals zero

For example, suppose we have the function f(x) = x^2 – 4x – 5. To find where f(x) crosses the x-axis, we follow the above steps:

1. Set f(x) equal to zero:

x^2 – 4x – 5 = 0

2. Solve for x:

Using the quadratic formula, we get:

x = (4 ± √(4^2 – 4(1)(-5))) / 2(1)

= (4 ± √36) / 2

= 2 ± 3

So the solutions are x = 5 and x = -1.

Therefore, the function f(x) crosses the x-axis at x = 5 and x = -1.

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