Need help finding out how to do for test preperation. a) Evaluate f at x = -1,0, and 5. If not defined, explain. {ogentsY

Name: Need help finding out how to do for test preperation. a) Evaluate f at
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Description: Need help finding out how to do for test preperation. a) Evaluate f at x = -1,0, and 5. If not defined, explain. {ogentsY

Answered: a) Evaluate f at x = -1,0, and 5. If…

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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Need help finding out how to do for test preperation.

a) Evaluate f at x = -1,0, and 5. If not defined, explain. {ogentsY

Expert Solution

Step 1

We are given the function,

Step 2

For (a),

We need to evaluate the value of the function f at x = -1, 0, and 5.

Notice that -2<-1<0. So, f(-1) = (-1)² =1.

Now, x = 0. So, f(0) = 0 + 1 = 1.

Further, 5 > 2 for which the value of the function is not defined. So, f(5) = Doesn't exist or DNE.

Hence, f(-1) = 1, f(0) = 1, and f(5) = DNE.

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