6-1
6-2
6-3
Final
100
An exponential function where the multiplier (or b) is < 1
Exponential Decay
100
What type of pattern do linear functions have?
Adds by the same number every time
100
The function f(x) = logbx is the ___________ function with base _________.
logarithmic, b
200
the starting amount or y-intercept of the graph or equation. In the equation y = a*b^x it is the value of a.
initial value
200
What type of pattern do exponential functions have?
Multiplies by the same number every time
200
Logarithmic functions are the inverse of ___.
Exponential Functions
300
A function where the variable is in the exponent. Graphically it resembles a curve shape.
Exponential Function
300
If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?
$2,225.54
300
Rewrite 34 = 81 in logarithmic form.
log381 = 4
400
The line (y = a number) that our function approaches but will never quite touch or cross
Horizontal Asymptote
400
John invested $400 at a rate of 35% for 8 months, compounded continuously. How much is his investment worth after 8 months?
$505.12
400
Rewrite log636 = 2 in exponential form.
62=36
500
The y-intercept is (0, 2)
The horizontal aysmptote is y = 1
The Domain is all real numbers
The Range is y > 1
Sketch the graph.
500
Heather invested $8,000 in a 4-year Certificate of Deposit (CD) that pays 4.1% interest compounded annually. What is the value of the CD at the end of the 4 years?
$9,394.92
500
log2(1/8)
-3
500
2log3x2 + 3log4x3 = 4log2x2 +4log6x
x > 0
x = 36