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
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
Problem 1RQ
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Question
(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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