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

Is this mapping a function or not a function? (Example: {(0,1), (1,-3), (2,-4), (-4,1)})

Back

Not a Function

Front

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Back

Domain: {0, 1, 2, -4}, Range: {1, -3, -4}

Front

What are all of the y values or outputs called?

Back

Range

Front

What are all of the x values or inputs called?

Back

Domain

Front

What is the relationship between domain and range in a function?

Back

The domain consists of all possible input values (x-values), while the range consists of all possible output values (y-values).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is paired with exactly one input.

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 the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.

Front

What is a composite function?

Back

A composite function is a function that is formed by combining two functions, denoted as (f ∘ g)(x) = f(g(x)).