Finding Zeros

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0. It represents the x-intercept of the graph of the function.

Front

How do you find the x-intercept of a graph?

Back

To find the x-intercept, set y = 0 in the equation of the graph and solve for x.

Front

What does the x-intercept represent in a graph?

Back

The x-intercept represents the point where the graph crosses the x-axis, indicating the value of x when y = 0.

Front

If a function has a zero at x = -2, what does this mean?

Back

It means that when x = -2, the output of the function is 0, or f(-2) = 0.

Front

Back

x = -2.

Front

What is the relationship between zeros and factors of a polynomial?

Back

If x = a is a zero of a polynomial, then (x - a) is a factor of that polynomial.

Front

Back

The zeros are x = 2 and x = -2.

Front

What is the significance of multiple zeros in a function?

Back

Multiple zeros indicate that the graph touches or crosses the x-axis at those points, which can affect the shape of the graph.

Front

Back

x = 3.

Front

Back

The x-intercept is x = -2.