Question is in picture. Please help, I am unsure of how to do this. ### Five Functions Defined by the TableThe table below displays values for five different functions, \(f(x)\), \(g(x)\), \(h(x)\), \(F(x)\), and \(G(x)\), each defined over the domain \(x = 1, 2, 3, 4, 5, 6\).| \(x\) | 1 | 2 | 3 | 4 | 5 | 6 ||--------|---|---|---|---|---|---|| \(f(x)\) | 7 | 5 | 1 | 6 | 4 | 2 || \(g(x)\) | 4 | 7 | 9 | 6 | 4 | 2 || \(h(x)\) | 3 | 8 | 7 | 2 | 7 | 6 || \(F(x)\) | 5 | 5 | 4 | 5 | 6 | 7 || \(G(x)\) | 1 | 2 | 7 | 4 | 8 | 7 |### Question:**Which of these functions is one-to-one?**1. \(F(x)\)2. \(f(x)\)3. \(g(x)\)4. \(h(x)\)5. \(G(x)\)### Explanation:A function is one-to-one if it assigns distinct outputs for distinct inputs, meaning no two different inputs \(x_1\) and \(x_2\) have the same output value. - **\(f(x)\)**: All values are unique.- **\(g(x)\)**: The value \(4\) repeats.- **\(h(x)\)**: The value \(7\) repeats.- **\(F(x)\)**: The value \(5\) repeats.- **\(G(x)\)**: The value \(7\) repeats.In this context, the only function that is one-to-one is **\(f(x)\)**.

Answered: g(x) h(x) F(x) G(x) 4 7 9 6 4 2 387826…

g(x) h(x) F(x) G(x) 4 7 9 6 4 2 387826 5 4 5 6 7 3 12 748 7 Which of these functions is one-to-one? 1. F(x) 2. f(x) 3. g(x) 4. h(x) 5. G(r)

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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