Function Equation
Tables
Linear or Exponential Model
Rate of Change/Multiplier
Writing Equations
100
These are the formulas for linear and exponential equations
What is y=mx+b and y=a(b)x
100
Does the table display exponential or a linear model? 
Linear; The y-values decrease (subtract) by 1 each time!
100
Linear or exponential: It costs 40 dollars to join a gym and an additional $10 per month.
Linear
100
What is the Rate of Change or Growth Factor of a function with the following points?
{(1,2) (2,4), (3,8), (4,16), (5,32)}
The Growth Factor is 2.
100
Write the linear equation that passes through the two points:
(0,7) and (3,16)
y = 3x + 7
200
If f(x) = 5x+2, find f(7).
37
200
Does the table display exponential or a linear model? 
Exponential; the y-values double (multiply by 2) each time!
200
This is the model that best describes the following information. y = 17(2)x
What is exponential?
200
What is the Rate of Change or Growth Factor of a function with the following points?
{(1,-20) (2,-23), (3,-26), (4,-29), (5,-32)}
The rate of change is -3
200
Write the exponential function that passes through the two points:
(0,2) and (1,6)
y = 2(3)x
300
This is the answer when f(x) = 10(5)x is evaluated for f(3).
What is 1250?
300
Does the table display exponential or a linear model? 
Exponential; the y-values are multiplying by 6 each time!
300
This is the model that best describes the following information. {(1,8), (2,12), (3,16), (4,20), (5,24)}
What is linear?
300
What is the Rate of Change or Growth Factor of a function with the following points?
{(1,3) (2,9), (3,27), (4,81), (5,243)}
The growth factor is 3
300
Write the equation that models the function below:
(0, 180) , (1, 160), (2, 140), (3,120)
y = -20x +180
400
A new band sold 600 tickets for their first concert. As their popularity spread, ticket sales for each new tour grew at a steady rate. The growth in ticket sales can be modeled by the equation
S(t)=600(1.15)^t
where t represents the number of years since their first concert tour. According to this model, by what percentage rate do ticket sales increase each year?
15%
400
The table shows values of n and f(n) for the equation f(n)=n(n+3)/2
n f(n)
1 2
2 5
3 9
4 ?
What is 14
400
This is the model that best describes the following information. {(-1,-54), (0,-18), (1,-6), (2,-2), (3,-2/3)}
What is exponential?
400
What is the Rate of Change or Growth Factor of a function with the following points?
{(1,100) (2,131), (3,162), (4,193), (5,224)}
The Rate of Change is 31
400
Write the equations represented by the points below:
(-2, 32), (-1, 16), (0, 8), (1, 4)
y = 8(.5)x
500
A pot of soup is left on the counter to cool. It starts at 180°F, and the temperature decreases as time passes. The cooling can be modeled by the function
T(t)=180(0.94)^t
where t is measured in hours since the soup was removed from the stove. According to this model, what percentage of heat is lost each hour?
6%
500
What value is missing from the function table for f(x) = −0.25x − 6?
x f (x)
–4 ?
–1 –5.75
0 –6
1 –6.25
What is -5?
500
A function that starts at 3 and doubles at each stage
What is exponential
500
What is the Rate of Change or Growth Factor of a function with the following points?
{(-1,.5) (0,3), (1,18), (2,108), (5,32)}
The Growth Factor is 6
500
Do the points below represent a linear or an exponential function? Find the slope or growth factor:
(0, 86), (1, 129), (2, 193.5), (3,241.875)
Exponential; growth factor of 1.5