Domain & Range Quadratics

Front

What is the definition of the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean if a function has a domain of all real numbers?

Back

It means that the function can accept any real number as an input.

Front

What does it mean if a function has a range of all real numbers?

Back

It means that the function can produce any real number as an output.

Front

How do you determine the domain of a quadratic function?

Back

The domain of a quadratic function is typically all real numbers unless there are restrictions based on the context.

Front

How do you determine the range of a quadratic function?

Back

The range of a quadratic function can be determined by identifying the vertex and the direction of the parabola (opening upwards or downwards).

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

If a quadratic function opens upwards, what can you say about its range?

Back

If it opens upwards, the range will be from the y-coordinate of the vertex to positive infinity.

Front

If a quadratic function opens downwards, what can you say about its range?

Back

If it opens downwards, the range will be from negative infinity to the y-coordinate of the vertex.

Front

What is the vertex form of a quadratic function?

Back