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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