Functions- Yes or No?

Front

What is a function?

Back

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

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

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

Back

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

Front

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

Back

R: {1, -3, -4}.

Front

What does it mean if a table has repeated x-values?

Back

If a table has repeated x-values, it does not represent a function.

Front

What does it mean if a table has repeated y-values?

Back

If a table has repeated y-values, it can still represent a function as long as the x-values are unique.

Front

Is the graph of y = x^2 a function?

Back

Yes, it is a function because each x-value has one corresponding y-value.

Front

Is the graph of y = √x a function?

Back

Yes, it is a function because each x-value has one corresponding y-value.