Algebraic Functions & Graphs

New Topic: Algebraic Functions and Graphs

By the end of this topic you will be able to:

• complete the square for quadratic functions

• recognise the probable form of a function from its graph

• draw graphs of related functions given f(x), f(x) being a simple polynomial or trigonometric function

• know the general features of the graphs of y=ax and y=logax

 

Homework: Algebraic Functions Set1

Due: Wednesday 11th September

Algebraic Functions and Graphs

New Topic: Algebraic Functions and Graphs

By the end of this topic you will be able to:

• complete the square for quadratic functions

• recognise the probable form of a function from its graph

• draw graphs of related functions given f(x), f(x) being a simple polynomial or trigonometric function

• know the general features of the graphs of y=ax and y=logax

Composite & Inverse Functions

By the end of this topic you will:

  • know domain, range, inverse, composite functions
  • be able to find f(g(x)) given f(x) and g(x)

Trigonometric Functions & Graphs

Mr H in 10 years

New Topic: Trigonometric Functions & Graphs

By the end of this topic you will be able to:
• convert Degrees to Radian measure and vice versa
• recall exact values in and calculate using radian measure
• translate graphs of trig functions
• sketch trig functions given their equation
• solve trig equations

Composite & Inverse Functions

By the end of this topic you will:

  • know domain, range, inverse, composite functions
  • be able to find f(g(x)) given f(x) and g(x)

Algebraic Functions and Graphs

New Topic: Algebraic Functions and Graphs

By the end of this topic you will be able to:

• complete the square for quadratic functions

• recognise the probable form of a function from its graph

• draw graphs of related functions given f(x), f(x) being a simple polynomial or trigonometric function

• know the general features of the graphs of y=ax and y=logax