2.2DOL Domain and Range

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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

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 of the problem.

Front

How do you determine the range of a quadratic function that opens upwards?

Back

For a quadratic function that opens upwards, the range is from the vertex's y-coordinate to positive infinity.

Front

How do you determine the range of a quadratic function that opens downwards?

Back

For a quadratic function that opens downwards, the range is from negative infinity to the vertex's y-coordinate.

Front

What is the vertex of a quadratic function in standard form?

Back

The vertex of a quadratic function in standard form (y = ax^2 + bx + c) can be found using the formula (-b/(2a), f(-b/(2a))).

Front

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

Back

The vertex represents the maximum or minimum point of the quadratic function, which is crucial for determining the range.

Tags

CCSS.HSF-IF.C.7A

Front

What notation is used to express the domain and range of a function?

Back

The domain and range can be expressed using interval notation, such as (a, b), [a, b), or [a, b].

Front

What does the notation [a, b) indicate?

Back

The notation [a, b) indicates that 'a' is included in the interval (closed), while 'b' is not included (open).

Tags

CCSS.HSA.CED.A.3

Front

How can you visualize the domain and range of a function?

Back

You can visualize the domain and range of a function by graphing it and observing the x-values (domain) and y-values (range) covered by the graph.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5