Problem Set 18: Functions: Domain Range (4.8-4.10)

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input (x) corresponds to exactly one output (y).

Front

What does it mean for a function to be defined?

Back

A function is defined for a specific input if there is a corresponding output value.

Front

What is the domain of the function represented by the points {(-3,4), (-2,3), (x,-1),(1,3),(3,5)}?

Back

The domain is {-3, -2, 1, 3}.

Front

What is the range of the function represented by the points {(-3,4), (-2,3), (x,-1),(1,3),(3,5)}?

Back

The range is {4, 3, -1, 5}.

Front

If a function has the range y ≤ 6, what does this imply?

Back

This implies that the output values (y) of the function can be any number less than or equal to 6.

Front

What is the domain of the graph that includes the points -6, 0, 2, 3, 4?

Back

The domain is {-6, 0, 2, 3, 4}.

Front

What is the range of the function with outputs {-3, -1, 1, 3, 5, 7, 9}?

Back

The range is {-3, -1, 1, 3, 5, 7, 9}.