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Use the table below to fill in the missing values. Assume f(x) is a one-to-one functi f(x) 7 0 2 3 1 5 6 8 4 9 X 0 1 2 3 4 5 6 7 co o 8 9 a) f(1) = b) If f(x) c) f¹(0) = d) If f¹(x) = 4 then * = = 1 then a = 4

Use the table below to fill in the missing values. Assume f(x) is a one-to-one functi f(x) 7 0 2 3 1 5 6 8 4 9 X 0 1 2 3 4 5 6 7 co o 8 9 a) f(1) = b) If f(x) c) f¹(0) = d) If f¹(x) = 4 then * = = 1 then a = 4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
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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The image contains a table followed by questions requiring incomplete values to be filled based on the data provided. The function \( f(x) \) is stated to be a one-to-one function. ### Table: The table is as follows: | \( x \) | \( f(x) \) | |---------|------------| | 0 | 7 | | 1 | 0 | | 2 | 2 | | 3 | 3 | | 4 | 1 | | 5 | 6 | | 6 | 5 | | 7 | 8 | | 8 | 4 | | 9 | 9 | ### Questions: a) \( f(1) = \) - Answer: 0 b) If \( f(x) = 1 \) then \( x = \) - Answer: 4 c) \( f^{-1}(0) = \) - Answer: 1 d) If \( f^{-1}(x) = 4 \) then \( x = \) - Answer: 1 The exercise involves using the table to look up values for function \( f(x) \) and its inverse \( f^{-1}(x) \).
Transcribed Image Text:The image contains a table followed by questions requiring incomplete values to be filled based on the data provided. The function \( f(x) \) is stated to be a one-to-one function. ### Table: The table is as follows: | \( x \) | \( f(x) \) | |---------|------------| | 0 | 7 | | 1 | 0 | | 2 | 2 | | 3 | 3 | | 4 | 1 | | 5 | 6 | | 6 | 5 | | 7 | 8 | | 8 | 4 | | 9 | 9 | ### Questions: a) \( f(1) = \) - Answer: 0 b) If \( f(x) = 1 \) then \( x = \) - Answer: 4 c) \( f^{-1}(0) = \) - Answer: 1 d) If \( f^{-1}(x) = 4 \) then \( x = \) - Answer: 1 The exercise involves using the table to look up values for function \( f(x) \) and its inverse \( f^{-1}(x) \).
Expert Solution
Step 1: Given information and formulas used:

A table is given with a one to one function fx values for some values of x.

a) The objective is to find the value of f1.

b) The objective is to find the value of x, for fx = 1.

c) The objective is to find the value of f-10.

d) The objective is to find the value of x, for f-1x = 4.

 

A one to one function y = fx, maps every y element in the range to exactly one x element in the domain. The inverse f-1x of the function fx gives the values of y, for the respective values of x.

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