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Adding functions
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Adding functions
Basic Concepts: Adding and subtracting polynomials, Function notation, Function notation (Advanced), Operations with functions
Lessons
adding functions: (f+g)(x)=f(x)+g(x)
- 1.Determine the Sum of Two Functions Algebraically
If f(x)=5x3−x+6 and g(x)=4x−8, determine:a)(f+g)(x)b)(f+g)(2), evaluate in two different ways - 2.Determine the Sum of Two Functions Graphically
Given the graphs of functions f(x) and g(x)
a)sketch: (f+g)(x)b)evaluate:
i) (f+g)(−5)
ii) (f+g)(0)
iii) (f+g)(5) - 3.Determine the Value of a Combined Function
If f(x)=2x−1 and g(x)=−∣6−x∣
Evaluate: 5(f+g)(8)−10
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7.
Functions
7.1
Function notation
7.2
Operations with functions
7.3
Adding functions
7.4
Subtracting functions
7.5
Multiplying functions
7.6
Dividing functions
7.7
Composite functions
7.8
Inequalities of combined functions
7.9
Inverse functions
7.10
One to one functions
7.11
Difference quotient: applications of functions