Function Equation
Tables
Linear or Exponential Model
Common Ratio
Common Difference
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 Ratio of the Sequence 2, 4, 8, 16, 32...

What is 2?

100

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

What is -3?

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 = 17x

What is exponential?

200

The Common Ratio of -1/2, 1, -2, 4...

What is -2?

200

The Common Difference of -1.7, -2.0, -2.3, -2.6...

What is -0.3 ?

300

If the input 7 is and the equation 5x+2 is what is the output? (x=input)

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 Ratio of the Sequence 3, 3, 3, 3...

What is 1?

300

The Common Difference of 18, 22, 26, 30...

What is 4?

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 Ratio of the Sequence -3, -9, -27...

What is 3?

400

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

What is 31?

500

If the input is 10 and the equation is 4x+(1/2)x; what is the output? (x= input)

45

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

These ordered pairs represent an exponential equation (-1, .5),(0,3),(1,18),(2,108). Find the common ratio.

What is 6

500

The Common Difference of 2.53, 2.56, 2.59, 2.62...

What is 0.03?