Given the following functions: f (x) =e^x h (x) = ln (x) Compute the following: a) Plot the graph of f (x), h (x) on the same axes. b) From the graph in question 4, explain the relationship between f(x) and h(x). c) The function f (x) = e^2 is always positive. Explain why this is so? d) The function h (x) = ln(x) never crosses the y-axis. Explain why this is so?
Given the following functions: f (x) =e^x h (x) = ln (x) Compute the following: a) Plot the graph of f (x), h (x) on the same axes. b) From the graph in question 4, explain the relationship between f(x) and h(x). c) The function f (x) = e^2 is always positive. Explain why this is so? d) The function h (x) = ln(x) never crosses the y-axis. Explain why this is so?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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question 2
Given the following functions:
f (x) =e^x h (x) = ln (x)
Compute the following:
a) Plot the graph of f (x), h (x) on the same axes.
b) From the graph in question 4, explain the relationship between f(x) and h(x).
c) The function f (x) = e^2 is always positive. Explain why this is so?
d) The function h (x) = ln(x) never crosses the y-axis. Explain why this is so?
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