Tues 6th November- Sketching two functoins on a pair of axes and show points of intersections and solutions to equations

LEARNING OBJECTIVE:Plotting two functions on a pair of axes and plotting ALL intersections and solutions to equations

SUCCESS CRITERIA: You will be able to efficiently sketch graphs of functions and use algebraic techniques to show intersections and solutions to equations: Techniques will include factorising, simultaneous equations and knowledge of intercepts

STARTER: Feedback from homework, revision of plotting curves to be help determine which set of values are the solution to an inequality
examples to use:

• Ex 3E - 5b -  x² – 5x – 14 >0
• Ex 3E - 7b  - (x - 1)(x + 2) > 18
• Ex 3E q9 - Find the values of k for which kx² + 8x + 5 = 0 has real roots 
• Ex 3E - Q 11b Find the set of values for which 

       2(x + 1)(x - 4) - (x - 2)² >0

PLOTTING 2 functions 
Example 8 page 48 - On the same diagram sketch the curves with equations y = x(x - 3) and y = x²(1 - x) then find the coordinates of the points of intersection

Example 9 page 49 On the same diagram sketch the curves with equations y = x²(x - 1) and y = 2/x
Explain how your sketch shows that there are two solutions to the equation x²(x - 1) - 2/x = 0  ( NB solving this algebraicaly is beyond the skills of C1)

Work through Ex 4D (Part of homework for Friday 17th Nov)

Homework for FridayNov 10th - Ex 4A, 4B, 4C