Function or Not???

Front

What is a function?

Back

A function is a relation where each input (x value) has exactly one output (y value).

Front

What must be true for a relation to be considered a function?

Back

Each x value must have only one y value.

Front

What does the vertical line test determine?

Back

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

Front

Is 'Fat' a function of 'Calories' if 'Calories' do not repeat?

Back

Yes, because 'Calories' do not repeat, it can be a function.

Front

If a vertical line touches a graph more than once, what can we conclude?

Back

It is not a function.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, typically representing a relationship between two sets.

Front

Can a function have the same y value for different x values?

Back

Yes, a function can have the same y value for different x values, as long as each x value has only one y value.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x value corresponds to one y value.

Front

What is an example of a non-function?

Back

An example of a non-function is y^2 = x, where a single x value can correspond to multiple y values.

Front

What is the domain of a function?

Back

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