Exponential Equations
True of false: All increasing exponential functions eventually exceed all increasing linear functions.
x - 62 = 123
How should you show your work to isolate the variable and solve the equation?
add 62
Find the common difference of the arithmetic sequence 14, 20, 26, ...
+6
What two pieces of information do you need to graph a line?
A slope and a y-intercept
f(x)=5x−12
What is f(−4)?
-32
Which of the following equations will grow the fastest?
a.) y=10(3)^x
b.) y=10(2)^x
c.)y=5(7/2)^x
d.)y=5(2.2)^x
C
33=4a−7
10
Given the sequence:
25, 21, 17, 13,...
write the explicit formula that models the sequence.
f(n)=25-4(n-1)
Rise and run
Write a function for the following scenario
Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?
10.95x+12.57=89.22
What do A and B represent in the formula y=a(b)^x?
–3 = v − 12
-2
V=18
What is the recursive formula used for?
Finding the next term
describe how you would graph the following line:
y=-3x-2
Start at -2 on the y-axis and then go down 3 and to the right 1
You and your friends plan to attend the county fair this weekend. Admission to the fair is $5 and the cost per ride is $0.50. How many rides can you go on if you have $20?
30
What values of b in the equation y=a(b)^x would represent decay?
Numbers less than 1
A fitness club opens with 80 members. Each month the membership increases by 15 members. Write an equation that represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
y=15x+80
Given the geometric sequence 80, 40, 20, 10, ...
Find the 12th term
0.039062504
Is this system 1 solution, no solution, infinite solutions?
y=3x+2
y=-2x-4
One solution
f(x)=5(2)^x
What is f(3) ?
40
Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y=5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years. What is the y-intercept of this equation and what does it represent?
5000, represents the starting amount in the account.
Find the value of the variable that makes the equation true.
-5x+18= 3x-6
x=3
Given the recursive formula a1=15, f(n)=a(n-a)-7
Find the 30th term
-188
Give a coordinate point that makes the following equation true:
y = 6x
0, 0
1, 6
2, 12
3, 18 etc
What does this say in English?
f(n)=f(1)+d(n-1)The function at the term I want is equal to the first term plus the common difference times the term I want minus one.