17 terms

Algebra I Honors - Exponential Functions

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Exponential function : what is equation?
what does a have to be?
what does b have to be?
( ≠ )
y = ab^x
a ≠ 0
b ≠ 1, b>0
x values will form ___________
arithmetic function
y values will form ___________
geometric function
EXPONENTIAL GROWTH:
b is the _______ factor
growth
EXPONENTIAL DECAY:
b is the _______ factor
decay
EXPONENTIAL GROWTH:
a is (>,<,=, ≠ ) to ____
b is (>,<,=, ≠ ) to ____
a > 0
b > 1
any exponential function -
y=ab^x
y is _____
a is _____
b is _____
x is _____
y is answer
a is initial amount
b is growth/decay factor
x is time
Compound interest-
A = P(_+r/_)^_ _
(FILL IN WHOLE FORMULA)
A = P(1 + r/n)^nt
Compound interest-
A is ____
p is ____
r is ____
n is ____
t is ____
A is balance / answer
p is principal / initial amount
r is annual interest rate
n is number of times compounded per year
t is time in YEARS
if a > 0 and 0 < b < 1, what does graph look like?
starts in quadrant II, up high, then slopes towards x axis as it gets closer to 0
if a > 0 and b > 1, what does graph look like
starts by x axis in quadrant II, hen goes higher as it goes into quadrant I
if a < 0 and b > 1, what does graph look like
starts below a axis, then starts to slope down into quadrant IV
if a < 0 and 0 < b < 1, what does graph look like
starts low in quadrant III, starts approaching x axis as it goes into quadrant IV
IF THE NUMBERS ARE NEGATIVE THE GRAPH WILL GO ____________ X AXIS
below
EXPONENTIAL DECAY:
a is (>,<,=, ≠ ) to ____
b is (>,<,=, ≠ ) to ____
a > 0
0 < b < 1
geometric sequence
- in each term, the numbers are increased or decreased using ________
multiplication
the ______ _____ in a geometric sequence is the change of the terms and is expressed using r
common ratio