A1 1-7 Domain and Range and eval from a Graph

Front

What is the definition of Domain in a function?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of Range in a function?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

How do you determine the domain from a graph?

Back

To determine the domain from a graph, identify the x-values that the graph covers. The domain includes all x-values for which there are corresponding y-values.

Front

How do you determine the range from a graph?

Back

To determine the range from a graph, identify the y-values that the graph covers. The range includes all y-values that correspond to the x-values in the domain.

Front

What is the domain of the function represented by the graph that spans from -3 to 3 on the x-axis?

Back

The domain is -3 ≤ x ≤ 3.

Front

What is the range of the function represented by the graph that includes the y-values -1, 0, 2, and 3?

Back

The range is {-1, 0, 2, 3}.

Front

Evaluate f(-3) if f is defined at that point and the output is 2.

Back

f(-3) = 2.

Front

Evaluate f(0) if f is defined at that point and the output is -7.

Back

f(0) = -7.

Front

What is the value of f(0) for the function f(x) = 2x + 3?

Back

f(0) = 3.

Front

What is the value of f(-3) for the function f(x) = 2x + 3?

Back

f(-3) = -3.