ammy's teacher described 1/x as getting smaller as x gets larger. This is because 1 is being divided by x. As x grows, 1 is further being divided. This is similar to how when x approaches a certain number, f(x) may grow positively or negatively towards another number. Ultimately these limits are found or estimated at whichever number is closest alongside x. Sammy thought that since x was getting larger, the entire equation would amount to a higher number; this is incorrect. Sammy could also ask what would happen if x was a negative number or a zero.
ammy's teacher described 1/x as getting smaller as x gets larger. This is because 1 is being divided by x. As x grows, 1 is further being divided. This is similar to how when x approaches a certain number, f(x) may grow positively or negatively towards another number. Ultimately these limits are found or estimated at whichever number is closest alongside x. Sammy thought that since x was getting larger, the entire equation would amount to a higher number; this is incorrect. Sammy could also ask what would happen if x was a negative number or a zero.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.1: Adding And Subtracting Polynomials
Problem 44PPS
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ammy's teacher described 1/x as getting smaller as x gets larger. This is because 1 is being divided by x. As x grows, 1 is further being divided. This is similar to how when x approaches a certain number, f(x) may grow positively or negatively towards another number. Ultimately these limits are found or estimated at whichever number is closest alongside x. Sammy thought that since x was getting larger, the entire equation would amount to a higher number; this is incorrect. Sammy could also ask what would happen if x was a negative number or a zero.
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