Domain and Range rti

Front

What is 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 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 from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What does the notation [-2, 3) represent?

Back

It represents a closed interval at -2 and an open interval at 3, meaning -2 is included and 3 is not.

Front

What does the notation (-∞, 4] represent?

Back

It represents all values less than or equal to 4, extending infinitely to the left.

Front

What is the significance of the endpoints in interval notation?

Back

Endpoints indicate whether the values at those points are included (closed) or excluded (open) from the interval.

Front

How can you find the range of a quadratic function?

Back

The range of a quadratic function can be found by determining the vertex and the direction the parabola opens.

Front

What is the difference between open and closed intervals?

Back

Open intervals do not include their endpoints, while closed intervals do.

Front

What is the domain of the function f(x) = 1/x?

Back

The domain is all real numbers except x = 0, or (-∞, 0) U (0, ∞).