Writing & Interpreting Equations of Exponential Functions(C)

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

• y = (4)^x

• $y\ =\ \left(\frac{1}{4}\right)^x$

• y = 4(4)^x

• y = $\frac{1}{4}\left(2\right)^x$

What exponential function can be represented by the given table of values?

• f(x) = 3(4)^x

• f(x) = 3x + 4

• f(x) = 4(3)^x

• f(x) = 4x + 3

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

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

•   $y=2\left(\frac{1}{2}\right)^x$  

•  $y\ =\ 2\left(2\right)^x$  
  

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

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

•  $y=2\left(\frac{1}{3}\right)^x$  

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

•  $y=\frac{1}{3}\left(2\right)^x$  

•  $y\ =\ 2x\ +\ 3$  
  

What exponential function is represented by the graph?

•  $y\ =\ 4^x$  

•  $y\ =\ 4\left(2\right)^x$  

•  $y\ =\ \left(\frac{1}{4}\right)^x$  

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

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

• $y\ =\ 3x$

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

• $y\ =\ \left(\frac{1}{3}\right)^x$

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

What exponential function is best represented by the graph?

• $f\left(x\right)\ =\ 6\left(\frac{1}{3}\right)^x$

• $f\left(x\right)\ =\ 3x\ +\ 2$

• $f\left(x\right)\ =\ 6\ -\ \left(\frac{1}{3}\right)^x$ y = (1/3)x

• $g\left(x\right)\ =\ 6\ -\ \left(3\right)^x$
  

James has a tree. It doubles in height every week. Write an expression that would represent how tall the tree is after x weeks.

• y=70(-2)^x

• y=(2)^x

• y=2(70)^x

• y=5(70)^x

Which equation of an exponential function shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1 + 0.35)^x

• y = 15(1- .35)^x

• y = 35(1.15)^x

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(1 - 0.30)^x

• y=30(1- 5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x