Combining Functions

Question 1

Sum and Difference Functions and the Principle of Superposition

Answer 1

find y values by adding the y-coordinates for every x value.

Question 2

Product Functions

Answer 2

multiply y values together. The zeros of the original two functions are still zeros. The domain is the domain common to both.

Question 3

Quotient Functions

Answer 3

divide y values. The numerator function determines the zeros of the quotient. The zeros of the denominator function lead to discontinuities in the quotient (VA,OA)

Question 4

How to find a function two ways?

Answer 4

sub one into the other then solve using new equation OR solve one and sub answer into other

Question 5

solving inequalities

Answer 5

method 1: compare graphically
method 2: use difference function
method 3: quotient functions (not recommended )