Show:
7.1 and 7.2
7.3
7.4
7.5
7.6 and 7.7
100
What is a vertical asymptote?
It is an imaginary line in an exponential growth or decay function that the graph approaches but never touches
100
What is the decimal approximation of "e" to three decimal places
2.718
100
What is the differnce between a common logaritm and a natural logaritm?
A natural logaritm is a logaritm with a base of e
100
What is the product property of logaritms
Log base(b) mn = log base(b) m + log base(b) n
100
What is the property of equality for exponential equations?
If b is a positive # other than 1, then b^x = b^y if and only if x = y.
200
What is the equation for compund interest?
A=P(1+r/n)^nt
200
What is the equation for continously compunded interest
a=Pe^rt
200
Simplfy the expression log 100
2
200
What is the quotient property of logarithms?
log base(b) m/n = log base(b) m - log base(b) n
200
Write an example of an exponential function that passes through the points (1,3) and (2,12).
y = (3/4) * 4^x
300
Which Kind of exponential function has 0<b<1?
Exponential Decay Functions
300
Is f(x)=1/3e^4x a exponential decay or growth function?
Exponential Growth
300
What is the base of a common logaritm if there is no base given
10
300
What is the power propety of logaritms
log base(b) m^n = n log base(b) m
300
What is the Property of Equality for Logarithmic Equations
If b,x,and y, are positive numbers and b doesn't equal 1, then log base(b) x = log base(b) y if and only if x = y.
400
What the parent function of y= 5(4^x) + 2
y=5^X
400
Simplify the expression e^3(e^4)
e^7
400
Use your calculator to evaluate the logarithm ln 5.38 Round to 2 decimal places if necessary
1.68
400
Expand the expression log 3x^4
log 3 + 4 log x
400
Write a power function that passes through the points (4,3) and (8,15)
y = 0.12x^2.32
500
Which graph is y = 5*3^(x+2) -4
B
500
Which graph is: y=e^(-2x)
C
500
Which graph is: log base(2) (x-3)
A
500
Use the change-of-base formula to evalute the logarithm log base(3) 9/40 Round to 2 decimal places if needed
-1.36
500
Solve the equation log base(5) (x+4) + log base(5) (x+1) = 2 Round to 2 decimal places if needed
2.72