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Algebra

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Operations with functions- Home
- AU Maths Extension 1
- 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

Operations with functionsNope, I got it.

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Get Started Now- Lesson: 1a2:09
- Lesson: 1b1:51
- Lesson: 1c5:07
- Lesson: 2a12:07
- Lesson: 2b4:17
- 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)$(3,30)$

We have over 1640 practice questions in AU Maths Extension 1 for you to master.

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