Algebra 1 - Domain and Range of Continuous Graphs

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

How do you determine the domain of a linear function?

Back

The domain of a linear function is typically all real numbers unless specified otherwise by constraints.

Front

What is the range of the function f(x) = 2x + 1?

Back

The range of the function f(x) = 2x + 1 is all real numbers, as it can take any value depending on x.

Front

What is the significance of closed intervals in domain and range?

Back

Closed intervals indicate that the endpoints are included in the set, meaning the function can take those values.

Front

What is the significance of open intervals in domain and range?

Back

Open intervals indicate that the endpoints are not included in the set, meaning the function cannot take those values.

Front

How can you find the range of a quadratic function?

Back

To find the range of a quadratic function, identify the vertex and determine if the parabola opens upwards or downwards.

Front

What is the domain of the function f(x) = 1/(x-3)?

Back

The domain of f(x) = 1/(x-3) is all real numbers except x = 3, where the function is undefined.

Front

What does it mean for a function to be continuous?

Back

A function is continuous if there are no breaks, jumps, or holes in its graph, meaning it can be drawn without lifting a pencil.

Front

How do you evaluate the range of a piecewise function?

Back

To evaluate the range of a piecewise function, analyze each piece separately and combine the results.