For the following function S(x)=x² + 1/2 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 4.

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
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1. For the following function
2
4.
• S(x) = x² + 1/ 2
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 y シッシ » ÜÐ 웃유 ♡ ??!!??! ¿¡ !?! ww ✓✓✓XXXXXO 1. For the following function 2 4. • S(x) = x² + 1/ 2 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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