After STAAR Quadratic Domain and Range

Front

What is 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 based on its domain.

Front

How do you determine the range of a quadratic function?

Back

To determine the range of a quadratic function, identify the vertex and the direction the parabola opens. If it opens upwards, the range starts from the y-coordinate of the vertex to infinity. If it opens downwards, the range goes from negative infinity to the y-coordinate of the vertex.

Front

What does it mean for a function to have a domain of all real numbers less than -4?

Back

It means that the function is defined for all x-values that are less than -4, and does not include -4 or any values greater than -4.

Front

What is a quadratic function?

Back

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether the parabola opens upwards or downwards.

Front

How can you find the vertex of a quadratic function given in standard form?

Back

Front

What is the significance of the y-coordinate of the vertex in determining the range of a quadratic function?

Back

The y-coordinate of the vertex indicates the minimum or maximum value of the function, which helps define the range.

Front

What does it mean for a function to have a range of all real numbers greater than or equal to 3?

Back

It means that the lowest output value of the function is 3, and the function can produce any value greater than 3.

Front

What is the difference between domain and range?

Back

The domain refers to all possible input values (x-values) for a function, while the range refers to all possible output values (y-values) that the function can produce.

Front

How do you represent the domain of a function graphically?

Back

The domain of a function can be represented on a graph by identifying the x-values for which the function is defined.