   Chapter 7.4, Problem 13ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# In 10—14 S denotes the set of real numbers strictly between 0 and 1. That is, S = { x ∈ R | 0 < x < 1 } .13. Draw the graph of the function f de?ned by the following formula:For each real number x with 0 < x < 1 , f ( x ) = tan ( π x − π 2 ) .Use the graph to explain why S and R have the same cardinality.

To determine

To draw the graph of f(x)=tan(πxπ2)in 0<x<1 and to explain why S and R have the same cardinality, using the graph.

Explanation

Given information:

f(x)=tan(πxπ2).

Concept used:

A function is said to be one-to-one function if the distinct elements in domain must be mapped with distinct elements in co-domain.

A function is onto function if each element in co-domain is mapped with atleast one element in domain.

Calculation:

The graph of

f(x)=tan(πxπ2)in 0<x<1

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