What is a formula?
A formula is a mathematical relationship that uses letters to represent amounts which can be changed
– these are called variables. For example, the formula to work out the area of a triangle.
Triangle area= bh/2
(where b represents the base of the triangle and h represents the height of the triangle).
b and h are variables because we can use different values, depending on the size of the triangle.
,Formulas can be created…
Starter:
1) A plumber has a call out fee of £40, plus an hourly rate of £18. Write a formula to calculate the cost of any
job and calculate the cost of a job estimated to take 2 hours.
Rearranging formulas:
2)
,Function notation
A function links an input value to an output value. Functions are written in function notation with the
name of the function (usually f or g), a variable written in brackets and an expression.
,Composite functions
Composite functions are made when the output from one function is used as the input of
another function.
The composite function fg(x) means works out g(x) first, then use this value in the function
f(x).
Try this:
,Inverse functions
Try this:
, Q1.a)
b)
A formula is a mathematical relationship that uses letters to represent amounts which can be changed
– these are called variables. For example, the formula to work out the area of a triangle.
Triangle area= bh/2
(where b represents the base of the triangle and h represents the height of the triangle).
b and h are variables because we can use different values, depending on the size of the triangle.
,Formulas can be created…
Starter:
1) A plumber has a call out fee of £40, plus an hourly rate of £18. Write a formula to calculate the cost of any
job and calculate the cost of a job estimated to take 2 hours.
Rearranging formulas:
2)
,Function notation
A function links an input value to an output value. Functions are written in function notation with the
name of the function (usually f or g), a variable written in brackets and an expression.
,Composite functions
Composite functions are made when the output from one function is used as the input of
another function.
The composite function fg(x) means works out g(x) first, then use this value in the function
f(x).
Try this:
,Inverse functions
Try this:
, Q1.a)
b)
