Finding the Zeroes of a Function

Finding the Zeroes of a Function can give us important information about that function, its behaviour, as well as the shape of its visual representation as a graph.

When we are working with functions, the zeros of a function are significant in that they tell use where the function, f, crosses the axes. When $f(x)=y=0$ this is where the function crosses the x-axis. On the other hand, wherever we have $x=0$ is where the function crosses the y-axis.

We find the zeros of a function by evaluating the function at $f(0)$. So, if we have the quadratic equation $f(x)=-3x^2 + 4x +2$ all that we have to do is evaluate for $f(0)$ which means that $x=0$ thus

\begin(equation*}

f(0) = -3x^2 + 4x + 2 \\ = -3(0)^2 + 4(0) + 2 \\ = 2

\end(equation*}