Function Notation and Zeros of Functions

Front

What are the zeros of a function?

Back

The zeros of a function are the values of x for which the function equals zero, often represented as the x-intercepts on a graph.

Front

How do you find the zeros of a function graphically?

Back

You find the zeros of a function graphically by identifying the x-intercepts, which are the points where the graph crosses the x-axis.

Front

What is the significance of x-intercepts in a quadratic equation?

Back

The x-intercepts of a quadratic equation are known as the zeros, and they represent the solutions to the equation when set to zero.

Front

Where do the zeros of a function occur on a graph?

Back

The zeros of a function occur where the graph crosses the x-axis.

Front

If a function is defined as f(x) = 0, what does this mean?

Back

This means you are looking for the value(s) of x that make the function equal to zero, which are the zeros of the function.

Front

What is the relationship between the zeros of a function and its graph?

Back

The zeros of a function correspond to the points where the graph intersects the x-axis.

Front

What is the term for the points where a function crosses the x-axis?

Back

These points are called the zeros of the function.

Front

If a quadratic function has no real x-intercepts, what can be said about its zeros?

Back

If a quadratic function has no real x-intercepts, it means that the function has no real zeros.

Front

How can you determine the number of zeros a quadratic function has?

Back

You can determine the number of zeros by calculating the discriminant (b^2 - 4ac) of the quadratic equation; if it's positive, there are two zeros; if zero, one zero; if negative, no real zeros.

Front

What is the formula for finding the zeros of a quadratic function?

Back