1. For Tollowing 3. f(x)= 4x x2+1 a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinate axes c) Determine if the function is even, odd or neither of them

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 27E: Assume that all variables represent real numbers. Determine whether each equation determines y to be...
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1. For the following function
3. f(x)=
4x
x2+1
a) Establish the domain of the function, and write it in interval notation
b) Determine the intersections with the coordinate axes
c) Determine if the function is even, odd or neither of them
d) Determine the vertical, horizontal or oblique asymptotes of the function. Establish the corresponding limits
e) Use the first derivative to determine the intervals of increase, decrease, maximum points and minimum points
f) Use the second derivative to determine the intervals of concavity down, concavity up and the inflection points
g) Sketch the graph
Transcribed Image Text:SOLVE STEP BY STEP IN DIGITAL FORMAT ÿ » ܸ 웃유 ♡ 1 3 * 0 * ! ! ?? !! ??! ¿¡ !? W X & D £ √XXXXXOO ✓ ✓ ✓ 1. For the following function 3. f(x)= 4x x2+1 a) Establish the domain of the function, and write it in interval notation b) Determine the intersections with the coordinate axes c) Determine if the function is even, odd or neither of them d) Determine the vertical, horizontal or oblique asymptotes of the function. Establish the corresponding limits e) Use the first derivative to determine the intervals of increase, decrease, maximum points and minimum points f) Use the second derivative to determine the intervals of concavity down, concavity up and the inflection points g) Sketch the graph
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