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I want to solve the following question: Use graphic representation to determine the zeroes of the function to one correct decimal $f(x)=(x+1)e^{x-1}-1$.

This is a problem from the course book Numerical Methods, but since the book only has a answer and not a solution, I would appreciate help in understanding how to solve it.

My thoughts: Since it is to be solved graphically, I thought I would make a table of some values of the function f(x) and see how f(x) change with different values of x. For example for $1-x-e^{-2x}$ I tried with x on the range [0,1] since 1 is a solution for $1-x$ and 0 is a solution for $1-x-e^{-2x}$, but I do not know how to find these ranges for $f(x)=(x+1)e^{x-1}-1$ that I have now.

kabin
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You wrote "Since it is to be solved graphically, I thought I would make a table." Huh? You demand "graphically" but then proceed NON-graphically?!

"Graphically" means, well, graphically:

enter image description here

enter image description here

David G. Stork
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  • Oh, I apologize if I was unclear. I understood the question as meaning that I would compile the graph for the function myself, ie that I was not allowed to use tools such as a graphing calculator. My mistake. – kabin Sep 07 '21 at 19:03