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Math 172 Question and answers verified to pass 2024/2025 CA$18.68   Add to cart
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Math 172 Question and answers verified to pass 2024/2025
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Math 172 Question and answers verified to pass 2024/2025 Math 172 with exponential function, when is there exponential growth vs. decay? - correct answer B>1 has exponential growth 0<b<1 has exponential decay List the roles of exponents - correct answer zero rule Product ru...

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  • October 15, 2024
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  • 2024/2025
  • Exam (elaborations)
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  • math 172 question and answers verified to pass

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Math 172
with exponential function, when is there exponential growth vs. decay? -
correct answer ✔B>1 has exponential growth
0<b<1 has exponential decay


List the roles of exponents - correct answer ✔zero rule
Product rule
Quotient rule
negative rule
power to power rule
roots rule


see Jan 29 notes for definition of rules


Exponential function - correct answer ✔if B is any real number such that b>0
and b≠1, then the the exponential function w/ base b is f(x)=b^x


What is the value e and where does it come from? - correct answer
✔e=2.718


It is the base of ln, which is where lim h ---> 0 is exactly zero.


See Jan 29 notes


What is the difference between e^(2x) and e^x^2? - correct answer ✔e^(2x)=
((e^x)*(e^x))=(ex)^2

, e^2^x= (e)^(x^2)


See Jan 30 notes


What are the three ways of notation? How would you write the set of numbers
1, 2, 3, 4 in each of the notation forms? - correct answer ✔Roster: simply list
elements of a set with brackets: {1, 2, 3, 4}


Set Builder: use the ε and lists the endpoints of a series of numbers A={n ε IN:
1≤ n≤ 4}


Interval: puts endpoints of a set, keeping in mind of brackets and parenthesis
[1,4]


What is ε - correct answer ✔ε means "is an element of. It is used especially
in set builder notation for a series of numbers


Inverse Function - correct answer ✔If f=D-->R and there exists G such that
g=R--->D such that f(g(x))=x and G(f(x))=x, then g is the inverse function of f


See Jan 31 notes


How is the inverse of F denoted? - correct answer ✔as F^(-1)


What makes a Function? How can we text it graphically? - correct answer
✔When all Domain values have one and only one range value (every x has 1
y). Test it by vertical line test

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