For what value of c is the function one-to one? {(1,2),(2,3)(3,5),(4,7),(5,11)(6,c)}

One to one function passes horizontal line test. If you plot function, it would looks like it increasing. at x=5, you have y=11 so at x=6, y should be greater than 11, right

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flightbath flightbath · Answer 2 · 2018-11-15T11:27:37+01:00

Answer: any positive integer that is ^{\mathbb{Z}^+} > 11 can be the value of c

Explanation:

c can not take any value less than 11 or even 11 because if we look at the graph of these points they will give the increasing line curve.

if c has value less than 11 the curve gets discontinuous by the below definition

one-one function is the function in which every element of range that is Y corresponds unique element of domain that is X. and if it passes the vertical and horizontal line test then it the function is one-one.

so if c takes value less than 11 the vertical line test fails and contradiction arises for one-one function.

Hence, c takes positive integer greater than 11.