finding zeroes of a function...?

Question

I HAVE BAD MEMORY,,, DOES "FIND THE ZEROES OF A FUNCTION" MEAN FIND WHAT EACH UNKNOWN IS?... MEANING WHAT X AND Y IS..?
IF NOT,,, PLS EXPLAIN...

Additional Details

14 minutes ago
example, f(x)=2x+6

Answer 1

Finding the zero(s) of a function means that you are finding the x-intercept(s). Therefore, the zeros in the function are the values for x for which the y-value is zero (in other words, where it intersects the x-axis).

For the example:

We want to find the value of x, for which the y-value is zero. Therefore, we make y, aka f(x), equal to zero and then we solve the equation to find the zero:

f(x) = 2x + 6
0 = 2x + 6
-6 = 2x
x = -3

Therefore, the zero is -3.

NOTE: The number of zeros can vary depending on the function. For a linear function, there will usually be one zero. However, for a quadratic function, there can be 0, 1, or 2 zeros (as the vertex may be above the x-axis, on the origin, or below the x-axis).

Answer 2

Finding a root means finding the value of x or the independent variables that make the function go to zero. In you example:
f(x) = 2x +6

the value of x that makes f(x) = 0 is -3.