Higher Functions (67-74)
67a. Graphs of Related Functions
67a. Graphs of Related Functions Exercise
67b. Completing the Square 1 (N5 Reminder)
67b. Completing the square 1(N5 Reminder)
67c. Completing the Square 2 (N5 Reminder)
67c. Completing the square 2 (N5 Reminder)
67d. Completing the Square 3 (Non Unitary Coefficient)
67d. Completing the Square 3 (Non Unitary Coefficient)
67e. Recognising Quadratics in Completed the Square Form
67e. Recognising Quadratics in Completed the Square Form
67f. Identifying Quadratics in Completed the Square Form
67f. Identifying Quadratics in Completed the Square Form
67g. Sketching Graphs in Completed Square Form
67g. Sketching Graphs in Complete Square Form
67h. Sketching y= -(x+a)^2+b
67h. Sketching y= -(x+a)^2+b
67i. Sketching quadratics y=k(x+a)^2+b
67i. Sketching Quadratics y = k(x+a)^2+b
67j. Identifying Quadratics by Completing the Square
67j. Identifying Quadratics by Completing the Square
67k. Max & Min Values by Completing the Square
67k. Min & Max Values by Completing the Square Exercise
68a. Exponential Graphs
68a. Exponential Graphs Exercise
68b. Graphs Related to Exponential Functions
68b. Graphs Related to Exponential Functions Exercise
68c. Log Graphs
68c. Log Graphs Exercise
68d. Graphs Related to Log Functions
68d. Graphs related to Log Functions
69a. Sketching Graphs Related to Trig Functions
69a. Sketching Graphs related to Trig Functions Exercise
69b. y=asin(x+d)+c and y =acos(x+d)+c
69b. y=asin(x+d)+c and y=acos(x+d)+c Exercise
69c. Max & Min Trig Functions
69c. Max & Min Values of Trig Functions
69d. The Wave Function
69d. The Wave Function Exercise
70. Sketching Graphs of Derived Functions
70. Sketching the Graph of f'(x) Exercise
71. Domain & Range
71. Domain & Range
72. Composite Functions
72. Composite Functions Exercise
73. Inverse Functions
73. Inverse Functions Exercise
74a. Logs & Exponential Domain & Range
74a. Logs & Exponentials Extension exercise
74b. Logs & Exponential Composite Functions
74b. Logs & Exponential Composite Functions Exercise