a) Write the equation of a function which fits each of the tables below. (b) Show and explain how you determined the function from the table. x f(x) -1 1 0 -1.5 1 -4 2 -6.5 3 -9 x g(x) -1 0.5 0 2 1 8 2 32 3 128 c) Let g^−1 be the inverse function of g from problem 2. Make a table of values for the function g^−1

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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(a) Write the equation of a function which fits each of the tables below.

(b) Show and explain how you determined the function from the table.

x f(x)
-1 1
0 -1.5
1 -4
2 -6.5
3 -9
x g(x)
-1 0.5
0 2
1 8
2 32
3 128

c) Let g^−1 be the inverse function of g from problem 2. Make a table of values for the function g^−1.

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