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Subtracting functions
- Lesson: 1a2:09
- Lesson: 1b1:51
- Lesson: 1c5:07
- Lesson: 2a12:07
- Lesson: 2b4:17
- Lesson: 35:58
Subtracting functions
Basic Concepts: Adding and subtracting polynomials, Function notation, Function notation (Advanced), Operations with functions
Lessons
subtracting functions: (f−g)(x)=f(x)−g(x)
- 1.Determine the Difference of Two Functions Algebraically
If f(x)=5x3−x+6andg(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)
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24.
Functions
24.1
Function notation
24.2
Operations with functions
24.3
Adding functions
24.4
Subtracting functions
24.5
Multiplying functions
24.6
Dividing functions
24.7
Composite functions
24.8
Inequalities of combined functions
24.9
Inverse functions
24.10
One to one functions
24.11
Difference quotient: applications of functions