Function Equation
Tables
Linear or Exponential Model
Common Ratio/Common Difference
Writing Equations
100

This is the formula for exponential functions.

What is 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

The Common Difference/Common Ratio  of the Sequence 2, 4, 8, 16, 32...

What is 2?

100

Write the linear equation that passed through the two points:

(0,7) and (3,16)

y = 3x + 7

200

This is the formula for linear

y= mx+b

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

The Common Difference/Common Ratio  of -20, -23, -26, -29...

What is -3?

200

Write the exponential fuctions that passes throught the two points:

(0,2) and (1,6)

y = 2(3)x

300

If f(x) = 5x+2, find f(7).

32

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

The Common Difference/Common Ratio of the Sequence 3, 3, 3, 3...

What is 1?

300
Write the equation the represents by the points below:


(0, 180) , (1, 160), (2, 140), (3,120)

y = -20x +180

400

This is the answer when f(x) = 10(5)x is evaluated for f(3).

What is 1250?

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

The Common Difference/Common Ratio of 100, 131, 162, 193...

What is 31?

400

Write the equations represented by the points below:


(-2, 32), (-1, 16), (0, 8), (1, 4)

y = 8(.5)x

500

If f(x) = 4x+(1/2)x; what is f(2)? 

9

500

What value is missing from the function table for  f(x)=−0.25x−6?

 x       f (x) 

–4    ? 

–1      –5.75

  1      –6.25

  0      –6

What is -5

500

A function that starts at 3 and doubles at each stage

What is exponential

500

(-1, .5),(0,3),(1,18),(2,108). Find the common ratio/common difference 

What is 6

500

Do the points below represent a linear or exponetial fuctions and find the common difference/common ratio:

(0, 86), (1, 98), (2, 111), (3,128), (4, 147)

exponential with a common ration of 1.14

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