Zeros of a Function
Zeros of a function, also called roots, are the values of ( x ) that make the function equal to zero, like this: ( f(x) = 0 ).
Graphing: Zeros show us where a graph meets the x-axis. For example, if we have ( f(x) = (x-2)(x+3) ), the zeros are ( x=2 ) and ( x=-3 ). This means the graph touches the x-axis at these points.
Solving Real-World Problems: Zeros can help us find answers to different situations. For instance, businesses might use them to find break-even points, where they don't make a profit or loss.
Factoring: To find zeros, set ( f(x) = 0 ) and then factor the equation. This means you break it down into simpler pieces to solve it.
Graphing: You can also use graphing tools to see where the function crosses the x-axis. This is a visual way to find the zeros.
Understanding zeros is really important for looking at how functions behave and solving equations in Algebra!
Zeros of a Function
Zeros of a function, also called roots, are the values of ( x ) that make the function equal to zero, like this: ( f(x) = 0 ).
Graphing: Zeros show us where a graph meets the x-axis. For example, if we have ( f(x) = (x-2)(x+3) ), the zeros are ( x=2 ) and ( x=-3 ). This means the graph touches the x-axis at these points.
Solving Real-World Problems: Zeros can help us find answers to different situations. For instance, businesses might use them to find break-even points, where they don't make a profit or loss.
Factoring: To find zeros, set ( f(x) = 0 ) and then factor the equation. This means you break it down into simpler pieces to solve it.
Graphing: You can also use graphing tools to see where the function crosses the x-axis. This is a visual way to find the zeros.
Understanding zeros is really important for looking at how functions behave and solving equations in Algebra!