This list should help you to revise. Look through it carefully and decide how confident you are on each point (2 = Fine, 1 = Some work needed, 0 = No idea). Then concentrate on what you need to.
- Represent a relation in different ways and convert between each, including:
- Ordered pairs
- Mapping diagram
- Graph
- Algebraic equation
- Data table
- State the domain and range of a relation.
- Decide if a relation is a function or not.
- Evaluate f(k) where f and k are given. E.g. If f(x) = 3x – 1, what is f(3)?
- Solve f(x) = k where f and k are given. E.g. If f(x) = 3x – 1, solve f(x) = 5?
- Rearrange f(x) to give f-1(x). If f(x) = 3x – 1, what is f-1(x)?
- Evaluate f-1(k) where f and k are given. E.g. If f(x) = 3x – 1, what is f-1(3)?
- Solve f-1(x) = k where f and k are given. E.g. If f(x) = 3x – 1, solve f-1(x) = 5?
- Graph a piecewise function from an equation.
- Write the equation of a piecewise function from the graph.
- State the domain and range of a piecewise function.
- Draw a line of best fit on a scatter plot and find its equation.
- Input a data table into the TI-84 and use it to find the line of best fit.
- Explain the meaning of the slope of a linear relation.
- Discuss whether a relation might or might not be linear.
- Discuss whether a relation might or might not be a function.
- Interpret graphical information, including domain and range, in the context of a given problem.
- ALL GRADE 9 MATERIAL ON LINEAR EQUATIONS AND GRAPHS.