17 terms

Exponential function : what is equation?

what does a have to be?

what does b have to be?

( ≠ )

what does a have to be?

what does b have to be?

( ≠ )

y = ab^x

a ≠ 0

b ≠ 1, b>0

a ≠ 0

b ≠ 1, b>0

x values will form ___________

arithmetic function

y values will form ___________

geometric function

EXPONENTIAL GROWTH:

b is the _______ factor

b is the _______ factor

growth

EXPONENTIAL DECAY:

b is the _______ factor

b is the _______ factor

decay

EXPONENTIAL GROWTH:

a is (>,<,=, ≠ ) to ____

b is (>,<,=, ≠ ) to ____

a is (>,<,=, ≠ ) to ____

b is (>,<,=, ≠ ) to ____

a > 0

b > 1

b > 1

any exponential function -

y=ab^x

y is _____

a is _____

b is _____

x is _____

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

a is initial amount

b is growth/decay factor

x is time

Compound interest-

A = P(_+r/_)^_ _

(FILL IN WHOLE FORMULA)

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 ____

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

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 is (>,<,=, ≠ ) to ____

b is (>,<,=, ≠ ) to ____

a > 0

0 < b < 1

0 < b < 1

geometric sequence

- in each term, the numbers are increased or decreased using ________

- 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