Functions, Functions, Functions

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

What are all of the y values or outputs called?

Back

The set of all y values or outputs is called the Range.

Front

Does the table represent a function if there is a repeated x-value?

Back

No, if there is a repeated x-value, it does not represent a function.

Front

Which set of values is a function? (9,5) (10,5) (9,-5) (10,-5), (3,4) (4,-3) (7,4) (3, 8), (6,-5) (7, -3) (8, -1) (9, 1), (2, -2) (5, 9) (5, -7) (1, 4)

Back

The set (6,-5) (7, -3) (8, -1) (9, 1) is a function.

Front

Is this mapping a function if it has repeated x-values?

Back

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

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

Back

A one-to-one function means that each output is paired with exactly one input, and no two inputs share the same output.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form y = ax^2 + bx + c, where a ≠ 0.