Modelling
What Type Of Function?
What Type Of Function 2?
Exponentials
Systems Linear-Quadratic
100
What is the linear model for the given data:
What is y = 1.17x + 82
100
Do the following points represent a linear model, exponential model, or neither:
(2,8)(3,12)(5,20)(6,24)(10,40)
Explain.
What is linear? The y-coordinates increase by adding 4 for every 1 to the x.
100
What type of function is the following?
What is Quadratic
100
State a, b, y-intercept, domain, and range for f(x)=3(2/3)ˆx
What is a=3, b=2/3, y-intercept (0,3), domain:(-∞,∞), and range:(0,∞)
100
Solve the system algebraically:
y=xˆ2 + 7x + 10
y=-4x - 20
What is (-5,0)(-6,4)
200
Model the following table with a quadratic equation:(1st column is x, 2nd column is y)
What is 5xˆ2 - 9x + 2
200
What type of function is the following table:
What is Linear
200
What type of function is the following table:
What is Quadratic
200
Graph y = (1/2)ˆx and list key points
What is (-3,8)(-2,4)(-1,2)(0,1)(1,.5)
200
Solve the system algebraically:
y=xˆ2 + 2x - 5
y=2x + 4
What is (3,10)(-3,-2)
300
Which type of function has a end behavior with the following: As x→∞, y→-∞. As x→-∞, y→-∞.
What is Quadratic (downward U shape)
300
What type of function is y = xˆ2 + 5x - 7?
What is Quadratic
300
Describe the end behavior of y=-4(2)ˆx. (Hint: Graph on the calculator first)
What is As x→∞, y→-∞, As x→-∞, y→0
400
What type of function is the following table:
What is Exponential
400
What type of function is y=-3(1/2)ˆx?
What is Exponential
400
A towns population is 2,500. If the population decreases by 6% each year, write an equation to represent the situation and calculate the population after 9 years.
What is y=2,500(.94)ˆx and the population after 9 years is 1432 people.
500
Which type of graph can increase on one side and flatten out on the other side?
What is Exponential
500
Find the first and second differences of the following table. Is the table a quadratic? Explain.
What is first differences: 3,5,7,9 second differences: 2,2,2. Yes, the table does represent a quadratic because the second differences are the same.
500
Tom Brady wants to start a savings account for his daughter with $150,000. The account earns 5% in Boston and 0% in Atlanta each year. How much will be in the account after 12 years in Boston? Atlanta?
What is Boston: $269,378.45, Atlanta: $150,000
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