Functions
Exponential Function
Quadratic Function
Systems of Equations
Linear Expressions
100
What is the domain for the function y=3x+1
All real numbers
100
The population of bacteria growth can be represented by the following equation. At which rate is it growing?
y=500(3)^x
It is tripling in population
100
Where is the x-coordinate of the vertex for this quadratic?
y=(x-3)(x+5)
x = -1
100
Solve for the solution
x = 5
17 = 3x + y
(5, 2)
100
Determine the y intercept for the following equation
y=3/4x-1/2
- 1/2
200
During which intervals is the graph decreasing?
-6<x<-4
x>-1
200
As the fox population rises, we are seeing the rabbit population change every year. It can be represented by the following equation.
What does the rate of change mean?
The bunny population is decreasing by 1/4 every year, or only 3/4 of the bunnies remain annually.
200
Where is the vertical intercept for this function?
(x-2)(x+10)
-20
200
Solve the systems of equations
y = 4x - 10
y = -8x + 8
(1.5, -4)
200
What is the equation of this line
y=2x-1
300
Find the average rate of change for the function for
-4<x<-1
3
300
Write the equation to represent the cost of car after x years. The car's value decreases by 15% each year. The owner purchased the car for $36,000.
y=36000(1.15)^x
300
Determine the zero's for this quadratic equation:
f(x)=x^2-7x+12
x = 3 and 4
300
Solve the systems of equation
x - 4y = 7
3x + 2y = 35
(11, 1)
300
Determine the x and y intercept for the following equation
4x + 5y = 100
x intercept (25, 0)
y intercept (0, 20)
400
What is the range for the following function?
f(x)=(x-4)^2-8
y>-8
400
Determine how long it will take for your bank account earn $100 in interest if you earn .3% interest monthly. You only deposited $1000 to start.
32 months
400
What is the min value for the graph
x^2-6x-5
-14
400
DOUBLE JEOPARDY
Write and Solve the systems of equations.
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
2 fancy shirts and 5 plain
400
What is the equation that represents the relationship in this table?
3x+4
500
DOUBLE JEOPARDY
Given the function
f(x) = x^2+4x-10
What is the range of g(x) = -f(x)
y<=14
500
Approximate the initial size of the penguin colony given the following information:
5 years after their migration, they had a population of 6500. Scientists estimate that they were growing at a rate of 10% each year.
There were 4035 or 4036 penguins at the time of migration.
500
given the function
f(x)=(x-4)^2+3
Is there a transformation for g(x)= f(x) + k that would make it so that g(x) has zero's? What is this k value?
when k < -8
500
The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Find the cost of each vegetable.
18 cents per squash
21 cents per zucchini
500
y = 2x+2