linear function

noun
UK /ˈlɪn.i.ə ˈfʌŋk.ʃən/
US /ˈlɪn.i.ɚ ˈfʌŋk.ʃən/

A linear function is a math rule that makes a straight line when you draw it.

The teacher showed us that y = 2x + 1 is a linear function.


OTHER MEANINGS

2. A function whose graph is a straight line and whose rate of change is constant.

In algebra class, we learned that a linear function has a constant slope.

3. A mathematical mapping that preserves addition and scalar multiplication between vector spaces.

The transformation that doubles every vector is a linear function.

4. A simple relationship where one quantity changes at a steady rate compared with another.

The cost grows as a linear function of the number of tickets bought.