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Algebra

Adding and subtracting polynomialsAlgebra

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Function notation (Advanced)Algebra

Operations with functions- Home
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- 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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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)$(3,30)$

12.

Functions

12.1

Function notation

12.2

Operations with functions

12.3

Adding functions

12.4

Subtracting functions

12.5

Multiplying functions

12.6

Dividing functions

12.7

Composite functions

12.8

Inequalities of combined functions

12.9

Inverse functions

12.10

One to one functions

12.11

Difference quotient: applications of functions

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