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Graphs and Functions : Asymptotes, X- and Y-Intercepts, Inverses, One-to-one and pH and H+ Ion Concentration

1. graph f(x) =
+ 5x+ 4
be sure to label all the asymptotes and to list the domain the x and y- intercept
2. f(x) = +3, x
- sketch the graph and use the graph to determine whether the function is one to one
-if the function is one to one find a formula the inverse
3. In chemistry the pH of the substance defined as
pH = -log [H ],
find the pH of each of the substance

substance hydrogen ion concentration
a) juice 1.6x 10
b) hire rinse 0.0013
c) mouthwash 6.3 x 10
d) eggs 1.6 x 10
e) tomatoes 6.3 x 10
4. solve using any method
ln(ln x) = 2
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1. graph f(x) =
+ 5x+ 4
be sure to label all the asymptotes and to list the domain the x and y- intercept

Use Maple, we get the following graph:

The horizontal asymptote is y=0

Two vertical asymptotes are x=-1 and x=-4

x-intercept is ...

Solution Summary

Graphs and Functions, Asymptotes, X- and Y-Intercepts, Inverses, One-to-one and pH and H+ Ion Concentration are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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