Relations, Functions and Graphs

Objective

1. Explain concepts associated with relations

2. Represent a relation in various ways

3. State the characteristics that define a function

4. Use functional notation

5. Distinguish between a relation and a function

6. Draw and interpret graphs of linear functions (Interpolating and Extrapolating)

7. Determine the intercepts of the graph of linear functions

8. Derive composite functions

9. State the relationship between a function and its inverse

10. Derive the inverse of a function

11. Evaluate f(a), f^-1(a), fg(a), (fg)^-1 (a)

12. Use the relationship (fg)^-1 = g^-1f^-1

13.

Study Resources

Instructions and worked examples about graphing quadratic functions and using them to solve equations.
Practice problems and solutions related to graphing quadratics and using these graphs to solve equations and simultaneous equations.
CSEC problems and solutions.
This document shows how to convert a quadratic function into the form a(x + h)² + k , and hence how to find the function's maximum or minimum value.
Worksheet for finding the maximum/minimum of a quadratic function.
CSEC Problems: May 2013 #9b; May 2011 #9b; May 2010 #5b; May 2009 #9
Gradient of a Curve at a Point Worksheet

14. Draw and interpret exponential function graph

15. Draw and interpret reciprocal Function Graph