Retake Review: Relations, Functions, Domain and Range

Front

Back

Front

If f(x) = 2x + 1, what is f(1)?

Back

f(1) = 3.

Front

What is the domain of the graph if it is defined for x values greater than or equal to 0?

Back

The domain is x ≥ 0.

Front

What is the domain of the graph if it includes all real numbers?

Back

Front

What is a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values of a function.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

Front

What is the vertical line test?

Back

The vertical line test determines if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the difference between domain and range?

Back

Domain refers to the set of all possible input values, while range refers to the set of all possible output values.

Front

How do you find the domain of a function?

Back

To find the domain, identify all the values of x for which the function is defined.