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Suppose f: R →R has the following property for all real numbers and y: if x < y then f(x) < f(y). (A function with this property is called a strictly increasing function.) Which of the following is true? Select one: O A. fis not necessarily 1 - 1 and not necessarily onto R. O B. f is onto R. but is not necessarily 1 - 1. O C. f must be 1-1 but is not necessarily onto R. O D. f must be both 1-1 and onto R.

Suppose f: R →R has the following property for all real numbers and y: if x < y then f(x) < f(y). (A function with this property is called a strictly increasing function.) Which of the following is true? Select one: O A. fis not necessarily 1 - 1 and not necessarily onto R. O B. f is onto R. but is not necessarily 1 - 1. O C. f must be 1-1 but is not necessarily onto R. O D. f must be both 1-1 and onto R.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Suppose f: RR has the following property for all real numbers x and y: if x < y then f(x) < ƒ(y). (A function with this property is called a strictly increasing function.) Which of the following is true? Select one: O A. f is not necessarily 1 - 1 and not necessarily onto R. O B. f is onto R. but is not necessarily 1 - 1. c. f must be 1 - 1 but is not necessarily onto R. O D. f must be both 1-1 and onto R.
Transcribed Image Text:Suppose f: RR has the following property for all real numbers x and y: if x < y then f(x) < ƒ(y). (A function with this property is called a strictly increasing function.) Which of the following is true? Select one: O A. f is not necessarily 1 - 1 and not necessarily onto R. O B. f is onto R. but is not necessarily 1 - 1. c. f must be 1 - 1 but is not necessarily onto R. O D. f must be both 1-1 and onto R.
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