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Algebra

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Function notation (Advanced)Algebra

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

1.

Functions

1.1

Function notation

1.2

Identifying functions

1.3

Adding functions

1.4

Subtracting functions

1.5

Multiplying functions

1.6

Dividing functions

1.7

Composite functions

1.8

Reflection across the y-axis: $y = f(-x)$

1.9

Reflection across the x-axis: $y = -f(x)$

1.10

Transformations of functions: Horizontal translations

1.11

Transformations of functions: Vertical translations

1.12

Transformations of functions: Horizontal stretches

1.13

Transformations of functions: Vertical stretches

1.14

Introduction to linear equations

1.15

Even and odd functions

1.16

One to one functions

1.17

Difference quotient: applications of functions

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