SL 2.5—Modelling functions Exercises

Question Type 1: Creating linear models for different real-life contexts

Question Type 2: Graphing different linear models

Question Type 3: Calculating solution to questions based around linear models

Question Type 4: Calculating the vertex and axis of symmetry of quadratic functions

Question Type 5: Working with the quadratic formula

Question Type 6: Calculating roots of polynomial equations using technology

Question Type 7: Sketching graphs of polynomials using technology

Question Type 8: Converting the quadratic to a product of linear terms

Question Type 9: Converting quadratics into the vertex form

Question Type 10: Using data points or images to estimate quadratic equations

Question Type 11: Performing simple calculations with an exponential model

Question Type 12: Formulating exponential models given descriptions

Question Type 13: Formulating and plotting exponential models to indicate key features such as asymptotes and intercepts

Question Type 14: Calculating with proportionality of two variables

Question Type 15: Formulating sinusoidal models given descriptions

Question Type 16: Working with sinusoidal models to calculate values of parameters

Question Type 17: Using sinusoidal models to create graphs using technology