Problem 1. The graph of function f is below. It consists of two rays and four segments, whose endpoints are precisely what they appear to be in the graph. 3 - 6 -3 3 6 -3 a. State the domain and the range of f. b. What are the maximum and minimum values of f? Also what argument minimizes the value of f? c. Evaluate each of the following, express your answer in exact form (e.g. V2, not 1.4) * f(-2) * f(6) * f(v2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem 1.
The graph of function f is below. It consists of two rays and four segments,
whose endpoints are precisely what they appear to be in the graph.
3
-3
3
-3
State the domain and the range of f.
а.
b. What are the maximum and minimum values of f? Also what argument minimizes the
value of f?
Evaluate each of the following, express your answer in exact form (e.g. V2, not 1.4)
c.
* f(-2)
* f(6)
* f(V2)
*
Transcribed Image Text:Problem 1. The graph of function f is below. It consists of two rays and four segments, whose endpoints are precisely what they appear to be in the graph. 3 -3 3 -3 State the domain and the range of f. а. b. What are the maximum and minimum values of f? Also what argument minimizes the value of f? Evaluate each of the following, express your answer in exact form (e.g. V2, not 1.4) c. * f(-2) * f(6) * f(V2) *
d. Solve for x:f (x) = 2
3
-3
3
-3
e. Solve for x: f(x)>2-x
f. Solve for x: -2 < f(x) < 3
g. At which value(s) of k such that the equation f (x) = k has ...
... one solution?
... two solutions?
three solutions?
... infinitely many solutions?
Transcribed Image Text:d. Solve for x:f (x) = 2 3 -3 3 -3 e. Solve for x: f(x)>2-x f. Solve for x: -2 < f(x) < 3 g. At which value(s) of k such that the equation f (x) = k has ... ... one solution? ... two solutions? three solutions? ... infinitely many solutions?
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