- Home
- ACCUPLACER Test Prep
- Functions
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)
Do better in math today
40.
Functions
40.1
Function notation
40.2
Operations with functions
40.3
Adding functions
40.4
Subtracting functions
40.5
Multiplying functions
40.6
Dividing functions
40.7
Composite functions
40.8
Inequalities of combined functions
40.9
Inverse functions
40.10
One to one functions
40.11
Difference quotient: applications of functions