Solution Found!
Which of the following definitions describe functions from the domain to the codomain
Chapter 5, Problem 16(choose chapter or problem)
Which of the following definitions describe functions from the domain to the codomain given? Which functions are one-to-one? Which functions are onto? Describe the inverse function for any bijective function. a. f: Z2 S N where f is defined by f(x, y) = x2 + 2y2 b. f: N S N where f is defined by f(x) = e x2 if x is even x + 1 if x is odd c. g: R S R where g is defined by g(x) = 1"(x + 1) d. f: N S N where f is defined by f(x) = e x + 1 if x is even x 1 if x is odd e h: N3 S N where h is given by h(x, y, z) = x + y z f. g: N2 S N3 where g is defined by g(x, y) = (y, x, 0)
Questions & Answers
QUESTION:
Which of the following definitions describe functions from the domain to the codomain given? Which functions are one-to-one? Which functions are onto? Describe the inverse function for any bijective function. a. f: Z2 S N where f is defined by f(x, y) = x2 + 2y2 b. f: N S N where f is defined by f(x) = e x2 if x is even x + 1 if x is odd c. g: R S R where g is defined by g(x) = 1"(x + 1) d. f: N S N where f is defined by f(x) = e x + 1 if x is even x 1 if x is odd e h: N3 S N where h is given by h(x, y, z) = x + y z f. g: N2 S N3 where g is defined by g(x, y) = (y, x, 0)
ANSWER:Step 1 of 7
A function is a mapping from one set to another that associates with each member of the starting set exactly one member of the ending set. The starting set for a function is called domain and the ending set for a function.
A function 
A function