Writing and interpreting exponential functions

Which table represents the following equation?

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Based on the table, which function represents the same relationship?

Write an exponential function to model the table.

x       y
0       1
1       4
2      16
3      64

• y = 1(4)^x 
• y = 4(2)^x
• y = 1(1/4)^x
• y = 64 (1/4)^x

Given the table, what is the equation of g(x)?

• $g\left(x\right)=-12\cdot6^x$

• $g\left(x\right)=\left(\frac{1}{6}\right)\cdot12^x$

• $g\left(x\right)=12\cdot\left(\frac{1}{6}\right)^x$

• $g\left(x\right)=12\cdot\left(\frac{1}{2}\right)^x$

Which exponential function best models the following data?

• y = 10(0.2)^x

• y = 20(0.5)^x

• y = 10(0.5)^x

• y = 20(0.2)^x

Use the initial value and common multiplier to identify the correct equation for this table:

Which of the equations below represent this table of values?

• y = 3(36)^x

• y = 36(3)^x

• y = 3(⅓)^x

• y = 36(⅓)^x

Write the equation of the exponential function for the given table.

Write the equation of the exponential function for the given table of values.

•  $y=2\left(\frac{1}{3}\right)^x$  

•  $y=-2\left(\frac{1}{3}\right)^x$ 
  

•  $y=\frac{1}{3}\left(2\right)^x$  

•  $y\ =\ 2x\ +\ 3$