FEATURES
GROWTH/DECAY
GEOMETRIC SEQUENCES
COMPOUND INTEREST
TRANSFORMATIONS
100
If f(x)=abx ,then "a" represents this and "b" represents this.
What is initial amount and constant ratio?
100
This graph represents this type of exponential function.
What is exponential growth?
100
a1= 5
an=5(an-1)
These represent one of these formulas for a geometric sequence.
What is recursive formula?
100
This is technically how you turn 7% into a decimal.
What is divide 7 by 100?
100
In the exponential function f(x) = a(b)x-h + k, the part a(b)x represents this.
What is a parent function?
200
For the function f(x)=2(3)x , this represent the initial amount.
What is 2?
200
If f(x)=a(1 - r)x , then (1 - r) represents this?
What is decay factor?
200
f(n) = 3(4)n-1
This number represents the common ratio.
What is 4?
200
In the compound interest formula below these are what the variables A, P, r, n, and t represent.
A=P(1+r/n)nt
A= total amount
P=principal amount
r=interest rate
n=number of times invested compounded per year
t=time in years
200
In the exponential function = a(b)x-h+k, "h" represents this.
What is the horizontal shift?
300
This color represents the linear equation, and this color represents the exponential equation.
What is red and what is blue?
300
f(x)=a(0.85)x represents one of these two options - exponential growth or exponential decay.
What is exponential decay?
300
In math, this term means to repeat a process over and over again using the output as the next input.
What is recursive?
300
Mr. Taylor deposited $1,000 in a CD (certificate of deposit) at a 7% interest rate compounded quarterly. He will need to leave that amount in the account for 5 years, if he doesn't want to pay a penalty. Identify the P, r (as a decimal), n, and t.
What is
P = 1,000
r = 0.07
n = 4
t = 5?
300
In the function f(x) = 5(3)x-4 + 5, this represents the vertical shift in this direction.
What is up 5?
400
This is the constant ratio of this exponential function?
What is 2?
400
If f(x)=a(1+r)x , then "a" represents this.
What is an initial amount?
400
An arithmetic sequence has this while a geometric sequence has this.
What is common difference and common ratio?
400
$950 at 6.5% for 8 years compounded semi-annually. This is the exponential model that represents this exponential growth.
A = 950(1+0.065/2)2(8)
400
In the exponential translation, y = 5x + 10, these are the y-values if the x-values are -2, 0, 2, 4 respectively.
What are 10.04, 11, 35, and 635?
500
These are the key features represented in this graph: the y-intercept, growth or decay, the domain, the range, and the asymptote.
What is 1, growth, all real numbers, y>0, and y=0?
500
Ms. Wiggins purchased a car for $26,400 and every year it depreciates by 12%. This amount is what she expectes the value of her car will be in 3.5 years rounded to the nearest dollar amount.
What is $16,877?
500
The number of subscribers to a blog triples each week. In the first week, they had 20 subscribers. This is the amount of subscribers they will have in week 26 (6 months). [Give the answer in standard notation, not scientific notation - be careful to read the number aloud correctly.]
What is 16,945,772,190,000?
500
$1500 at 5% interest rate compounded monthly. This is the amount that will be the balance after 2 years. Round to the nearest whole dollar.
What is $1,657?
500
For the function f(x) = 0.25x+3 + 4, these sets of ordered pairs would represent the final graph if you use -1, 0, 1, and 2 for "x" in the parent function.
What is (-4, 8), (-3, 5), (-2, 4.25), (-1, 4.0625)?