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S1w5 Review of exponential and log functions

Last updated 3 months ago
23 questions
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1

Consider what the asymptote for the following rational function would be, and the evaluate the limit.


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describe the domain of the following rational equation


x ____________________
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Describe the discontinuities(s) - infinite, removeable, jump

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Watch the following video link about Exponential function review. (20 minute video) Do you have any questions?

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When analyzing exponential functions, what were the basics of choosing the domain and range. (she went over this part very quickly, but think through the function and what you know about it.)

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What was the key determinant of whether a function showed a growth or decay function?

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What was the base for a half-life problem?

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what was the base for a percent decay problem of 3%

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Watch the following video on the 
Do you have any questions?

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What are the types of word problems that you would categorize immediately into the exponent or log buckets?

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you may not ever have a negative base. If you can, explain why.

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A base with a negative exponent (see below)
is the same as

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A base with a fractional exponent (see below) is the same as

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You are told the half-life of a medication in your system is two hours. You take a 400 mg dose of Advil for a headache, how much of the medication is in your system two hours later?

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how much medication is in your system another 2 hours later?

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Rewrite the following exponential equation so that the exponential terms have the same base.

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Watch this video on solving logarithmic equations
. do you have any questions - note: she goes over some of the same properties of logs" in the last video, and then uses them to solve the equations. If you think you have a really solid base for that, you may want to speed this one up.

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Why do think she keeps talking about what happens when the base is 1? Why is that a constant disclaimer?

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Honors: Can you derive the following logarithmic property from the exponential property below it? how?


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compare and contrast domain, range, end conditions, and other constraints between the two parent functions
and

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what is the easiest way to use logs to deal with exponential equations where the exponential terms do not have the same or exponentially related bases? For instance - what would your first step be when faced with the following equation?

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What is the base of your log, and how do you calculate it?

Draggable itemCorresponding Item
10. use the log button on your calculator
e. use the ln button on your calculator
5. the answer is obviously 1. you don't need to use your calculator
2. calculate by using either the log button or the ln button, but you will need a change of base equation.
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while a lot of stuff, it should have all been review. still, how are you feeling?

  • manipulating exponential functions algebraically
  • graphing exponential functions
  • finding the asymptote of a exponential function
  • solving exponential functions with different but related bases?
  • solving growth and decay problems (this will be the focus of next week, so we won't do much with this this week)
  • manipulating log functions algebraically
  • graphing log functions
  • finding the asymptotes of log functions
  • solving log functions
  • solving exponential functions with different (related or no) bases using logs
  • how to tell if something is growth or decay just by looking at the equation
  • change of base formula
  • i've got this
  • i'm fuzzy
  • so confused