1. Use the graph below to answer the following questions. y X = -1, x = -2, x = -3, f(-1)=2 F(-2)=2 -4 F1-3)=2 - 12) = -1, F-1 (2) = -2, x-1(2) = -3 J f(x) -2 4 2 2 →→→x a. Will the inverse of f (x) be a function? How can you tell without graphing? The inverse of F(x) will not be a function. Functions will have one output for all inputs, in this question the inverse Function have multiple outputs for a Single input. 2. Determine the domain and range for both f(x) and f(x). Clearly label your answers. Compare similarities and differences between the domain and ranges for f(x) and f-¹(x)?
1. Use the graph below to answer the following questions. y X = -1, x = -2, x = -3, f(-1)=2 F(-2)=2 -4 F1-3)=2 - 12) = -1, F-1 (2) = -2, x-1(2) = -3 J f(x) -2 4 2 2 →→→x a. Will the inverse of f (x) be a function? How can you tell without graphing? The inverse of F(x) will not be a function. Functions will have one output for all inputs, in this question the inverse Function have multiple outputs for a Single input. 2. Determine the domain and range for both f(x) and f(x). Clearly label your answers. Compare similarities and differences between the domain and ranges for f(x) and f-¹(x)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Question 2 please
Transcribed Image Text:1. Use the graph below to answer the following questions.
^
-4
4
f(x)
4 -2
X = -1,
X = -2,
Fl-1)=2
F(-2)=2
F1-31-2
x = -3,
-¹/2) = -1, F-¹ (2)= -2, x-1 12) = -3
J
a. Will the inverse of f (x) be a function? How can you tell without graphing?
The inverse oF F(x) will not be a function.
Functions will have one output for all inputs, in this
question the inverse Function have multiple outputs for a
Single input.
2. Determine the domain and range for both f(x) and f¹(x). Clearly label your answers.
Compare similarities and differences between the domain and ranges for f(x) and f-¹(x)?
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