Math Problem Statement
which of the following statements about the natural logarithmic function y=In(x) is FALSA? A) the range of Y=In(X) goes from - infinity to 100. b) the function In(x) is increasing wherever it is defined. c) the function In(x) is concave down wherever it is defined. d) the domain for In(x) is x>0. e) In(e^4)=4
Solution
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Math Problem Analysis
Mathematical Concepts
Natural Logarithms
Functions
Concavity
Derivatives
Formulas
ln(x)
ln(e^a) = a
Second derivative test for concavity
Theorems
Properties of Logarithmic Functions
Domain and Range Theorem
Concavity Theorem
Suitable Grade Level
Grades 10-12
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