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)

Filed under: Higher | Tagged: composite functions, functions, Higher, inverse functions |

Posted on Wednesday 25 August, 2010 by Mr H

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)

Filed under: Higher | Tagged: composite functions, functions, Higher, inverse functions |

Mr H, on Wednesday 25 August, 2010 at 12:49 said:Wednesday 25 August, periods 5 & 6Definition of a function, set notation, number sets, domain & range.

Substituting values and expressions into functions.

Composite functions.

Discuss targets one-one while class working through algebra.

Starter – Find the equations of these quadratic functions:

Mr H, on Thursday 26 August, 2010 at 22:33 said:Friday 27 August, period 5Practice algebra for composite functions.

Class to create pairs of functions and calculate f(g(x)) and g(f(x)).

Homework:Vertex, Focus & Directrix (follow link for more info)Due:Friday 3 SeptemberMr H, on Sunday 29 August, 2010 at 22:35 said:Class worked well while I saw several pupils for 1-1 discussions on their targets.

Some further practice of trickier functions on Monday.

Mr H, on Sunday 29 August, 2010 at 22:47 said:Monday 30 August, period 1Starter: State the minimum value of the fraction

Further practice of composite functions, including fractional functions, three functions and problem solving.

Worksheet: Composite Functions

Mr H, on Monday 30 August, 2010 at 10:00 said:Very disappointing response to starter question.

Advice and expectations reiterated.

A similar question will be posed tomorrow.

Most of worksheet completed – class to complete as part of their revision/practice during the week.

Mr H, on Monday 30 August, 2010 at 10:05 said:Tuesday 31 August, period 4Return marked Algebraic Functions homework and discuss issues arising.

Remind class about self-assessment & next steps.

Some pupils will need to redo parts of this exercise.

Starter similar to previous lesson.

Inverse Functions

“If y = 3x – 1, what value of x gives y = -7?”

Define and create examples to calculate algebraically.

Mr H, on Wednesday 1 September, 2010 at 13:41 said:Most of class missing due to Product Design trip.

Those present worked on introduction to inverse functions

Mr H, on Wednesday 1 September, 2010 at 13:40 said:Wednesday 1 September, periods 5 & 6Return marked Algebraic Functions homework and discuss issues arising.

Remind class about self-assessment & next steps.

Some pupils will need to redo parts of this exercise.

Starter similar to previous lesson.

Inverse Functions

“If y = 3x – 1, what value of x gives y = -7?”

Define and create examples to calculate algebraically.