11-8-24 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 continuous graph?

Back

To determine the domain of a continuous graph, identify the x-values for which the graph exists without any breaks or gaps.

Front

How do you determine the range of a continuous graph?

Back

To determine the range of a continuous graph, identify the y-values that the graph reaches as it moves along the x-axis.

Front

What is the domain of the function f(x) = x^2?

Back

The domain of f(x) = x^2 is all real numbers, as any real number can be squared.

Front

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

Back

The range of f(x) = x^2 is y ≥ 0, as the output of the function is always non-negative.

Front

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

Back

The domain of f(x) = 1/x is all real numbers except x = 0, as the function is undefined at x = 0.

Front

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

Back

The range of f(x) = 1/x is all real numbers except y = 0, as the function never outputs zero.

Front

What does it mean for a graph to be continuous?

Back

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

Front

How can you identify the range from a graph?

Back

You can identify the range from a graph by looking at the highest and lowest points on the graph and determining the y-values covered.