Chapter 2: Q64E (page 155)
Draw the graph of the function f (x) = [x/2] from R to R.
Over 22 million students worldwide already upgrade their learning with Vaia!
Given f (x) = [x/2]
Draw the graph of the given function using the graphing tool, we get,
All the tools & learning materials you need for study success - in one app.
Get started for free
Give an example of a function from N to N that is
If f and are one-to-one, does it follow that g is one-to-one? Justify your answer.
Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or her
a) Define what it means for a function from the set of positive integers
to the set of positive integers to be one-to-one
b) Define what it means for a function from the set of positive integers to the set
of positive integers to be onto.
c) Give an example of a function from the set of positive integers to the set of
positive integers that is both one-to-one and onto.
d) Give an example of a function from the set of positive integers to the set of
positive integers that is one-to-one but not onto.
e) Give an example of a function from the set of positive integers to the set of
positive integers that is not one-to-one but is onto.
f) Give an example of a function from the set of positive integers to the set of
positive integers that is neither one-to-one nor onto.
Question: Let and let for all . Show that f(x) is strictly increasing if and only if the function is strictly decreasing.
What do you think about this solution?
We value your feedback to improve our textbook solutions.
