Domain and Range Practice with Arrows

Front

What is the range of a graph?

Back

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

Front

What is the domain of a graph?

Back

The domain of a graph is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine the range of a graph?

Back

To determine the range, look at the lowest and highest points on the graph and identify the y-values.

Front

How do you determine the domain of a graph?

Back

To determine the domain, look at the leftmost and rightmost points on the graph and identify the x-values.

Front

What does it mean if the range is y ≥ 0?

Back

It means that the output values (y-values) of the function are all greater than or equal to zero.

Front

What does it mean if the domain is x ≥ 0?

Back

It means that the input values (x-values) of the function are all greater than or equal to zero.

Front

What is the significance of the endpoints in determining domain and range?

Back

Endpoints indicate the minimum and maximum values for the domain and range, helping to define the limits of the function.

Front

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

Back

The domain is x ≥ 0, since you cannot take the square root of a negative number.

Front

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

Back

The range is y ≥ 0, since the output of x^2 is always non-negative.

Front

What does it mean if a graph has no restrictions on its domain?

Back

It means that the function can accept all real numbers as input values.