Unit #3 Envision functions and relations

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

Is the following set a function? { (-1, 0), (7, 4), (-5, 2), (-1, 5) }

Back

No, because the input -1 has two different outputs.

Front

What is the domain of a function?

Back

The set of all possible input values (x values).

Front

What is the range of a function?

Back

The set of all possible output values (y values).

Front

Is the following relation a function? { (2, 3), (3, 4), (2, 5) }

Back

No, because the input 2 has two different outputs.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

Identify the linear equation: y = 2x + 3, y^2 = 4x, x + y = 5.

Back

y = 2x + 3 and x + y = 5 are linear equations.

Front

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

Back

Each input must correspond to exactly one output.

Front

Is the following relation a function? { (1, 2), (2, 3), (3, 4) }

Back

Yes, each input has a unique output.