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Algebra

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Operations with functions- Home
- UK Year 10 Maths
- Functions

Still Confused?

Try reviewing these fundamentals first

Algebra

Adding and subtracting polynomialsAlgebra

Function notationAlgebra

Function notation (Advanced)Algebra

Operations with functionsStill Confused?

Try reviewing these fundamentals first

Algebra

Adding and subtracting polynomialsAlgebra

Function notationAlgebra

Function notation (Advanced)Algebra

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- Lesson: 35:58

Basic Concepts:Adding and subtracting polynomials, Function notation, Function notation (Advanced), Operations with functions,

subtracting functions: $(f-g)(x) = f(x)-g(x)$

- 1.
**Determine the Difference of Two Functions Algebraically**

If $f(x)= 5x^3-x+6$and$g(x)=4x-8,$

Determine:a)$(f-g)(x)$b)$(g-f)(x)$c)$(g-f)(-2)$evaluate in two different ways - 2.
**Determine the Difference of Two Functions Graphically**

Given the graphs of functions $f(x)$and $g(x)$

a)sketch: $(g-f)(x)$b)evaluate:

i) $(g-f)(-3)$

ii) $(g-f)(0)$

iii) $(g-f)(4)$ - 3.
**Determine the Difference of Two Functions Point-by-Point**

The graph of $y=f(x)$includes the points (2,5),(4,15),(7,30)

The graph of $y=g(x)$includes the points (2,6),(3,16),(4,30)

If f and g are defined for all real values of x , then which of the

following points must lie on the graph of $y=(f-g)(x)?$a)$(0,-1)$b)$(0,1)$c)$(2,-1)$d)$(3,30)$

14.

Functions

14.1

Function notation (Advanced)

14.2

Operations with functions

14.3

Adding functions

14.4

Subtracting functions

14.5

Multiplying functions

14.6

Dividing functions

14.7

Composite functions

14.8

Inequalities of combined functions

14.9

Inverse functions

14.10

One to one functions

14.11

Difference quotient: applications of functions

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