Domain & Range/Independent & Dependent

Front

What is the independent variable in a function?

Back

The independent variable is the input value that can be changed freely, often represented on the x-axis of a graph.

Front

What is the dependent variable in a function?

Back

The dependent variable is the output value that depends on the independent variable, often represented on the y-axis of a graph.

Front

What does the term 'domain' refer to in a function?

Back

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

Front

What does the term 'range' refer to in a function?

Back

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

Front

On which axis is the independent variable plotted?

Back

The independent variable is plotted on the x-axis.

Front

On which axis is the dependent variable plotted?

Back

The dependent variable is plotted on the y-axis.

Front

If a function is defined as f(x) = 2x + 3, what is the output when the input is 4?

Back

The output is 11, calculated as f(4) = 2(4) + 3 = 11.

Front

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

Back

The domain is all real numbers, represented as (-∞, ∞).

Front

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

Back

The range is all non-negative real numbers, represented as [0, ∞).

Front

In the context of a graph, what does a point (3, 5) represent?

Back

The point (3, 5) represents an input of 3 (independent variable) and an output of 5 (dependent variable).