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Transcript

Functions

Mathematics

Marta Collado

Índice

LINEAR FUNCTION

Direct proportionality function

Affine function

Constant function

NON LINEAR FUNCTION

Inverse proportionality function

linear function

Is one whose graphical representation is a straight line.

Direct Proporcionality Function

Affine Function

Constant Function

Is a function that relates two inversely proportional magnitudes (x,y) One example:A constant rate of 105 euros can be paid by more than one person. We would have a constant of proporcionality and the formula to calculate y for each value of x:y= k/x k=105

Inverse proporcionality function:

Non-linear function

Is one that doesn´t have a straight line as its graphical representation.

Noelia Moscardo

Photo of a non-lineal function

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¡Recuerda publicar!

One example:The shop charges a tariff of 2 euros to rent the bicycle (INITIAL COST)Additionally, it cgarges 0,5 euros for each hour of use.

Affine

Function
  • Its a linear function because the line its straight.
  • The slope is positive, so it is an increasing function.
  • Its an affine function because an initial condition (for example , y= 30) has been applied to it, which is the value of y when the x is 0, and this causes the line not to pass through the origin.

One example:The cost of one kg of cheese is 10 pounds.i want to purchase 2 kg of cheese, so I pay 20 pounds.

Direct Proporcionality

Function
  • Its a linear function because the line representing is straight.
  • Its a direct proporcionality function because the line passes through the origin of the coordinate system (x:0, y:0)

One example:The theme park charges a tariff of 30 euros (the entrance)no matter how much attracctions you ride, the amount will be the same.

Constant

Function

Its a function that relates two quantities (x, y) in such a way that, if the independent variable x increases or decreases, the dependent variable y stays constant.The algebraic expression is:y=n