zeros of functions

Front

What is a zero of a function?

Back

A zero of a function is a value of x that makes the function equal to zero. It is the point where the graph of the function intersects the x-axis.

Front

How do you find the zeros of a linear function?

Back

To find the zeros of a linear function, set the function equal to zero and solve for x.

Front

What is the zero of the function f(x) = 2x + 4?

Back

The zero is -2, found by solving 2x + 4 = 0.

Front

What does it mean if a function has no zeros?

Back

If a function has no zeros, it means that the graph does not intersect the x-axis, indicating that the function does not take the value of zero for any real number input.

Front

What is the zero of the function f(x) = x^2 - 9?

Back

The zeros are x = 3 and x = -3, found by factoring the equation as (x - 3)(x + 3) = 0.

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is the zero of the function f(x) = 5x - 20?

Back

The zero is 4, found by solving 5x - 20 = 0.

Front

What is the significance of the zeros of a function in graphing?

Back

The zeros of a function are significant because they indicate where the graph crosses the x-axis, which helps in sketching the graph.

Front

What is the zero of the function a(x) = 3(x - 5)?

Back

The zero is 5, found by setting 3(x - 5) = 0.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.