kim modelling functions

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MODELLING Kim Dart

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Page 1: Kim Modelling Functions

MODELLING

Kim Dart

Page 2: Kim Modelling Functions

Modelling

When you’re given an equation that is missing a certain variable or constant and certain points (x,y) on the graph, and are asked to find that variable by inserting the given points into the equation.

Page 3: Kim Modelling Functions

Modellingon a Calculator

Page 4: Kim Modelling Functions

Modelling Involving Exponential Functions

The rule for the function of a graph is of the form y = aex + b. The graph passes through the points (0,6) and (3,22). Find the values of a and b. – Do question on the board.

(Solution page 177 of text book)

Page 5: Kim Modelling Functions

Questions

Complete; Exercise 5.E. Q.1,2

Page 6: Kim Modelling Functions

Modelling Involving Logarithmic Functions

The rule for the function of a graph is of the form y = aloge(x+b). The graph passes through the points (5,0) and (8,1). Find the values of a and b. – Do question on the board.

(Solution page 177 of text book)

Page 7: Kim Modelling Functions

Questions

Complete; Exercise 5.E; Q5,8

Page 8: Kim Modelling Functions

Modelling Involving Circular Functions

A function with rule y=Asin(nt)+b had range [2,8] and period 2π/3. Find the values of A, n and b. Do question on the board.

Page 9: Kim Modelling Functions

Questions

Complete; Exercise 6.J; Q.5,7.