Domain and Range from Graphs Review

Front

What is the definition of 'Domain' in relation to a graph?

Back

The domain of a graph is the set of all possible input values (x-values) for which the function is defined.

Front

What is the definition of 'Range' in relation to a graph?

Back

The range of a graph is the set of all possible output values (y-values) that the function can produce.

Front

How do you determine the domain of a function from its graph?

Back

To determine the domain, identify all the x-values that the graph covers.

Front

How do you determine the range of a function from its graph?

Back

To determine the range, identify all the y-values that the graph covers.

Front

What does it mean if a graph has a restricted domain?

Back

A restricted domain means that there are specific x-values that are not included in the function.

Front

What does it mean if a graph has a restricted range?

Back

A restricted range means that there are specific y-values that the function cannot produce.

Front

What is an example of a function with a limited domain?

Back

The square root function, f(x) = √x, has a domain of x ≥ 0.

Front

What is an example of a function with a limited range?

Back

The function f(x) = x^2 has a range of y ≥ 0.

Front

How can you visually identify the domain from a graph?

Back

Look for the leftmost and rightmost points of the graph to determine the interval of x-values.

Front

How can you visually identify the range from a graph?

Back

Look for the lowest and highest points of the graph to determine the interval of y-values.