Unit 10 Lesson 1: Exponential Functions

What is the function of this graph?

• $y=5^x$

• $y=2\left(5\right)^x$

• $y=\left(\frac{1}{5}\right)^x$

What is the function of this graph?

• $y=5^x$

• $y=2\left(5\right)^x$

• $y=\left(\frac{1}{5}\right)^x$

What is the function of this graph?

• $y=5^x$

• $y=2\left(5\right)^x$

• $y=\left(\frac{1}{5}\right)^x$

Is this function growth or decay?
 $y=-2\left(\frac{1}{4}\right)^x$  

• Growth

• Decay

• Not enough information to determine

Is the function exponential growth or decay?
 $y=0.25\left(5\right)^x$  

• Growth

• Decay

• Not enough information to determine

Is the function exponential growth or decay?
 $y=\left(0.5\right)^x$  

• Growth

• Decay

• Not enough information to determine

Is the function exponential growth or decay?
 $y=0.5\left(5\right)^x$  

• Growth

• Decay

• Not enough information to determine

Does this situation represent growth or decay?

Purchase of a new car.

• Growth

• Decay

• Not enough information to determine

Does this situation represent growth or decay?

Purchase of a new home.

• Growth

• Decay

• Not enough information to determine

In 1993, Katie inherited $1,000,000 from her grandmother. She invested all of the money and by 2005, the amount had grown to $1,678,000.

Write an exponential function that could be used to model the money y. Write the function in terms of x, the number of years since 1993.

• $y=1000000\left(1.044\right)^x$

• $y=1000000\left(0.044\right)^x$

• $y=1000000\left(1.295\right)^x$

• $y=1000000\left(1.03\right)^x$