First slide
Introduction to real valued functions
Question

Let ‘f’ be an injective function with domain {x, y, z} and range {1,2,3} such that exactly one of the following statements is correct and the remaining are false f(x) = 1. f(x)=1,f(y)1,f(z)2 the value of f1(1) is

Moderate
Solution

Suppose f(x) = 1, then f(y)1,f(z)=2f is not an injection.

Suppose f(y)1, then

f(z)=2,f(y)=3,f(x)1 A contradiction

Suppose f(z)2, then

f(y)=1, f(z) = 3, f(x) = 2 this is true  f1(1)=y

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