6.1 and 6.2: Properties of Exponents
6.3 - exponential Functions
6.4 Growth and Decay
6.5 Solving Exponential equations
6.6 and 6.7: sequences
Spelling Bee
100
Simplify completely:
(x^-2 x^-3)^4
1/x^20
100
If, y=a(b)x , what does 'a' represent?
a=initial amount or y-intercept
100
Does the graph represent exponential growth or decay?
Exponential Growth
100
Solve for x:
3^x = 81
x=4
100
here's a sequence: 5 , 4 , 1 , -3, -4, ...
Find
a_6 and a_7
-1, 3
100
_________, I'm the best speller
Basically
200
Simplify completely
x/(2x^0)^2
x/4
200
What is the initial value for the function
f(x)=2(3)x
2
200
f(x)=-4(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
200
8^x = 2
x =1/3
200
What are the explicit equations for arithmetic and geometric sequences? 200 pts for each
a_n = a_1 +(n-1)d
a_n=a_1 r^(n-1)
200
they need extra help, we will ________ them
accommodate
300
Simplify completely:
(x^4)^-3 * 2x^4
2/x^8
300
What is the equation of this graph?
y= 1(2)x or just y = 2x
300
f(x)=2(.93)x
Does this functions represent exponential growth or decay? What is the percent growth/decay rate?
Exponential Decay
7% rate
300
4^(7-x) = 64
x = 4
300
What are the recursive equations for arithmetic sequences and geometric sequences?
300 points for each
a_n=a_(n-1)+ d
a_n=r*a_(n-1)
300
they were not here, they have an _____
absence
400
(3x^2 y^2)/(2x^-1 4yx^2 z^0)
(3xy)/8
400
What's the equation for this table?
y=5(2)x
400
Write an equation to represent a town with an initial population of 1,400 people and an annual growth rate of 1.25%
f(x)= 1400(1.0125)x
400
(1/8)^x = 32
x =-5/3
400
Find the first six terms of the sequence, and write the explicit rule:
a_n=a_(n-1) + 2 ; a_1 =3
3, 5, 7, 9, 11, 13
a_n= 3 + 2(n-1)
400
Green vegetables, _______ and ________
broccoli and zucchini
500
simplify to a single number:
256^(7/8)
128
500
What is the difference between linear functions and exponential functions, if you are looking at a table?
Linear functions have a constant difference or rate of change
Exponential functions have a multiplier or common ratio
500
Ms. Wiggins purchased a car for 26,400 and every year it decays by 12%. Write an equation to represent this situation.
f(x)=26400(.88)t
500
49^(1-1x) = (1/2401)^(1/2x+1/2)
no solution
500
write the recursive rule for the sequence:
8, 10, 18, 28, 46 ...
a_n=a_(n-1)+ a_(n-2)
500
They have camera's everywhere, everything is under constant ______
surveillance