Exponential Functions
Determine whether the table represents a linear function, an exponential function, or neither:
x 0 1 2 3
f(x) 1.44 1.08 0.81 .6075
Exponential
What are the 3 methods for solving a system of linear equations?
Graphing, Substitution, Elimination
Write an inequality to model this scenario:
At an amusement park, you must be less than 82 inches tall to ride the roller coaster.
x < 82
Find f(3):
f(x) = 9x - 12
f(3) = 15
What is the longest side of a right triangle called?
The hypotenuse
Barry has 12 burritos at the start of the year. Each month, he gets 3 times as many burritos. Write a function that represents the scenario.
f(x) = 12 * 3^x
Solve this linear system:
x + y = 8
3x - y = 0
(2,6)
Determine the solution to this inequality:
- 3 - 6(4x + 6) > -111
x < 3
Find x when f(x) = 5:
f(x) = 1.5x - 7
x = 8
Name 1 of the first 2 people to climb Mt. Everest.
Edmund Hilary / Tenzing Norgay
In the form f(x) = a * b^x, what do the a and b represent? (Use our math vocabulary.)
a = zero term (or initial value)
b = common ratio (or growth factor)
Jenny is solving a linear system using substitution. At the end of her process, she gets "x = x." What does this tell her about her solution?
The system has infinite solutions.
Determine whether the coordinate pair is a solution to the inequality (yes or no):
(2, 5)
y > 3x - 1
No.
Find f(2) + g(3):
f(x) = 3x - 3
g(x) = 2x + 5
14
Which pop star sings the song "Driver's License?"
Olivia Rodrigo
When graphing an exponential function, it will infinitely approach a horizontal line, getting closer and closer but never reaching it. What is the name for this type of line?
asymptote
Ned goes to the supermarket and purchases 8 peaches and 5 apples for a total of $11.75. The next day he goes to the supermarket and buys 3 peaches and 7 apples for $10.25. Write a system of linear equations to model the scenario. (You do NOT need to solve it.)
8p + 5a = 11.75
3p + 7a = 10.25
Determine whether the coordinate pair is a solution to the linear system:
(1,4)
y < 5x + 2
8x - y > 4
No. (It doesn't "fit" the 2nd inequality.)
Rewrite the equation in function form:
3x + 4y = 24
f(x) = -0.75x + 8
Name 3 Drew faculty members who go by "Dr. _________"
(Answer will vary)
Ed has a car that is worth $10,000. Each year, the value of the car depreciates by 9%. What will the value of Ed's car be in 12 years?
$3,224.75
Solve the linear system:
3x - 2y = 2
5x - 5y = 10
(-2, -4)
Describe when you would use a solid line and when you would use a dashed/dotted line in graphing inequalities:
Solid line: when the inequality has a "less/greater than OR EQUAL TO" symbol
Dashed line: when the inequality has a "less/greater than" symbol (but not "or equal to")
Find the inverse of f(x). USE CORRECT NOTATION.
f(x) = 4x + 16
f-1 (x) = -0.25x + 4
What is the westernmost part of the City of San Francisco? (It's technically part of the Richmond district in the 94121 zip code.)
The Farallon Islands