a. vom the else () 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. 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(x)? F (-3,5)-(-2,3) Domain (-3,5) value of y fall in (-2,3) so range is (-2,3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Use the graph below to answer the following questions.
X = -1,
x = -2,
x = -3,
Fl-12=2
F(-2)=2
स्र
F1-31-2
F¹ 12) = -1; F-1(2)= -2, 1-112) = ³3
f(x)
-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.
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)?
F (-3,5)-(-2,3)
Domain (-3,5)
value of y fall in (-2,3) so
range is (-2,3)
Transcribed Image Text:1. Use the graph below to answer the following questions. X = -1, x = -2, x = -3, Fl-12=2 F(-2)=2 स्र F1-31-2 F¹ 12) = -1; F-1(2)= -2, 1-112) = ³3 f(x) -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. 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)? F (-3,5)-(-2,3) Domain (-3,5) value of y fall in (-2,3) so range is (-2,3)
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