Function Characteristics Practice 1

Front

What is the domain of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

D: {-4, 0, 1, 2}

Front

What is the range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

R: {-4, -3, 1}

Front

What does the term 'end behavior' refer to in graphing functions?

Back

End behavior describes the behavior of the graph as x approaches positive or negative infinity.

Front

Describe the end behavior of a function where x→∞, y→2 and x→⁻∞, y→∞.

Back

As x approaches infinity, the function approaches the horizontal line y=2. As x approaches negative infinity, the function increases without bound.

Front

What are the y-values of a function also known as?

Back

Range

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the difference between domain and range?

Back

Domain is the set of all possible input values (x-values), while range is the set of all possible output values (y-values).

Front

If a function has a range of all real numbers, what does that imply?

Back

It means that the function can output any real number value.

Front

What does it mean if a function's end behavior is x→∞, y→∞?

Back

It means that as x increases without bound, the function's output also increases without bound.

Front

What is the significance of the range in a function?

Back

The range indicates all possible outputs of the function, which is crucial for understanding its behavior.