Kim Modelling Functions
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The document discusses different types of modeling involving functions. It provides examples of exponential, logarithmic, and circular functions where the variables or constants are missing and points on the graphs are given. Readers are instructed to find the values of the missing variables or constants by inserting the points into the corresponding function equations. Exercises from the textbook are assigned for practice.
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![Modelling Involving Circular FunctionsA 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.](https://image.slidesharecdn.com/kimmapping-100414012530-phpapp01/85/Kim-Modelling-Functions-8-320.jpg)
Kim Modelling Functions
- 2. 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.
- 4. Modelling Involving Exponential FunctionsThe 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)
- 6. Modelling Involving Logarithmic FunctionsThe 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)
- 8. Modelling Involving Circular FunctionsA 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.