Is it a Function?

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 table represents a function?

Back

Check if any input value corresponds to more than one output value. If it does, it's not a function.

Front

What does a vertical line test determine?

Back

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

Front

What is the definition of a mapping diagram?

Back

A mapping diagram visually represents the relationship between input and output values.

Front

What indicates that a mapping is not a function?

Back

If an input value is connected to multiple output values, it is not a function.

Front

What is the output of the function f(x) = 2x + 3 when x = 4?

Back

f(4) = 2(4) + 3 = 8 + 3 = 11.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

f(x) = x^2 is a function because each input x has exactly one output.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

What does it mean for a graph to be a function?

Back

A graph is a function if every x-coordinate has only one corresponding y-coordinate.