STUDY, STUDY, STUDY

Test Monday! This is the last hurdle between you and the winter break; work hard this weekend to prepare for our test! Look over your pop quiz (I returned today), use the graphing practice/answer key I gave you in class, and study your 3.1 take home quiz (with the graphs of e and compound interest stuff).

The test is broken into 7 different parts (about 30 questions). Here's what you need to know:

Part 1:

• Evaluate exponential expressions
• Be sure to know how to deal with fractional exponents, negative exponents, and 0 (as an exponent)!

Part 2:

• Evaluate logarithmic expressions
• Remember, the log of a negative or of 0 is undefined!
• Study your pop quiz--this is the same stuff (1-9 on the pop quiz)

Part 3:

• Simplify logarithmic expressions
• Know the properties of logs we discussed in class!
• These are the same as 10-15 from our pop quiz
• Remember, if the "base" is the same as the number we're taking a log of, the expression = 1
• log(1)=0 no matter the base
• a^log(x)...The "a" and the "log" "cancel out" if the bases are the same! (The base of the log is the same as "a")

Part 4:

• Sketch the graph of a given logarithmic function
• This is what we discussed today (Friday) in class!
• Use the practice problems and answer key I provided you to study!
• Remember, you only need to show the asymptote, "shifted point," and the general shape to get credit

Part 5:

• Compound interest problems
• Study our 3.1 take home quiz--we had a bunch of these types of problems in that packet~
• Most important: know the formulas! If you don't know the formulas, these are impossible!

Part 6:

• Find the domain of a logarithm algebraically
• This is like the stamp problem we had today in class (that I printed out so you can keep)
• Remember, what's "inside the log" must always be >0; set up an inequality and solve!

Part 7:

• Graphing exponential functions
• For this section, you will be provided with 6 graphs and 6 equations; you have to label each graph with the correct equation
• Additionally, you also have to describe the shifts/reflections (in words) for these functions
• Study your 3.1 take home quiz (with the compound interest stuff)
• We also had a 3.1 homework (and I passed out an answer key) that you can use to study!

More generally, everything you need to know is in section 3.1 and 3.2 of your book. Use your resources! Look up videos on youtube! Try some of the links on the right! Just be ready to get an A!

Have a great weekend!