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Logs
Polynomial equations
Syntc Div./Logs cont.
Application
Determination
100
Condense log (x+3) + log (x-2) 6 6
log (x+3)(x-2) 6
100
Is this a polynomial equation? (if it is, what would make it not) What is its degree? f(x)= 2+4x-6x^2+x^3
Yes, it would not be a polynomial if there were to be anything other than a positive integer exponent. Degree=3
100
Use synthetic division (4x^4-4x^2+6x)/(x-4)
4x^3+16x^2+60x+246+(984/x-4)
100
What is i?
/-1
100
What is i^2?
-1
200
Evaluate: 7x ln e
7x
200
List zeros and multiplicities, from this information does the graph touch or cross at these points? f(x)=x^3+7x^2-4x-28
X= -7, -2, 2 Multiplicities 1 The graph will cross at all three points.
200
Write the log form: 8^3=x
log x=3 8
200
What is the vertex formula?
(-b/2a, f(-b/2a))
200
Find the (min/max) f(x)=3x^2-3x+1
(1/2, 1/4)
300
Expand log 1000x
3 + log x
300
List zeros and multiplicities, with this information does the graph cross or touch at these points? f(x)=3(x^2 + 5) (x-2)^3
x^2 = -5 (imaginary) x=2 (multiplicity of 3) - crosses
300
Evaluate: e^2.8
~16.44 (Use calculator)
300
Find the Domain and express in interval notation. f(x)=log (x+2) 4
x>-2 (-2, oo)
300
Evaluate using change of base formula: log 78 14
~1.65
400
Expand log 16x 4
2 + log x 4
400
Determine the end behavior for both: f(x)=-3x^5+5x^3-x^2-x+2 f(x)= x^2
Degree:5 rises on left falls on right LC:-3 Degree:2 rises on left and right LC:1
400
Write in Exponential form: log 8=y 2
2^y=8
400
You have $8000 dollars to invest @ 6.5% compounded continuously for 6 years. After these 6 years, what amount approximately will you have?
~11,815.85
400
You have 100 feet of fencing to enclose a rectangular region. What dimensions will give you the maximum area, and what will the area be?
25 x 25 625ft^2
500
Expand log (2x-3/5) 2
log (2x-3) - log 5 2 2
500
Graph: f(x)=4x^2-3x+2
If you used a calculator...Ya did the right thing. On the exam, just match up the one that looks correct. :)
500
Find zeros given that -1/3 is a zero 3x^3+7x^2-22x-8=0
x=-4,2,-1/3
500
You have 84 feet of fencing to enclose an area bordered by a river. What dimensions will give you the maximum area?
21 x 42
500
You have $8000 dollars to invest @ 6.5% compounded monthly for 6 years. After these 6 years, what amount approximately will you have?
~11,803.42