FA Lesson 3.1 Practice

Front

What is the range in a set of values?

Back

The range is the difference between the highest and lowest values in a set. For example, in the set {-3, 0, 2}, the range is 2 - (-3) = 5.

Front

What is a dependent variable?

Back

A dependent variable is the variable that is being measured or tested in an experiment. It depends on the independent variable. In the context of Jimmy's pizza deliveries, money (m) is the dependent variable.

Front

What is 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. For example, if a function is defined for x values between -4 and 3, the domain is -4 ≤ x ≤ 3.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once. This is known as the vertical line test.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if each input (x-value) has exactly one output (y-value).

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values), while the range is the set of all possible output values (y-values) of a function.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where for each x-value, there is a unique y-value.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation defined by y^2 = x, where for some x-values, there are two corresponding y-values.

Front

What does it mean for a variable to be independent?

Back

An independent variable is a variable that is manipulated or changed in an experiment to observe its effect on the dependent variable.

Front

What is the notation for domain?

Back

The notation for domain is often expressed in interval notation, such as (-∞, 3] or [-4, 3].