Exponential Function Basics

In the exponential equation

 $y=3\cdot4^x$  , the first point you should put on the table is (0, ____).

• 3

• 4

• 0

• 12

In the exponential equation

 $y=3\cdot4^x$  , to get from the point (0, 3) to the point (1, _____) you should:

• Add 3

• Add 4

• Multiply by 4

• Divide by 4

In the exponential equation

 $y=3\cdot4^x$  , to get from the point (0, 3) to the point (-1, _____) you should:

• Add 3

• Add 4

• Multiply by 4

• Divide by 4

What shape will the graph of

 $y=2\cdot3^x$   have?  (Hint: Make a table first)

• a

• b

• c

• d

What shape will the graph of

 $y=-2\cdot3^x$   have?  (Hint: Make a table first)

• a

• b

• c

• d

What shape will the graph of

 $y=12\cdot\left(0.5\right)^x$   have?  (Hint: Make a table first)

• a

• b

• c

• d

What shape will the graph of

 $y=-4\cdot\left(0.5\right)^x$   have?  (Hint: Make a table first)

• a

• b

• c

• d

What is the exponential equation for this table?

• $y=2x+6$

• $y=2\cdot6^x$

• $y=6\cdot2^x$

• $y=3\cdot2^x$

What is the exponential equation for this table?

• $y=-3x-6$

• $y=3\cdot\left(-6\right)^x$

• $y=-6\cdot\left(-3\right)^x$

• $y=-6\cdot3^x$

Darphus Teaberry has fleas. At first he has 500 fleas, but they are increasing by 20% every day. What exponential function describes this situation?

•  $y=500\cdot0.2^x$  

•  $y=500\cdot20^x$  

•  $y=\ 500\ \cdot\ 1.20^x$  

•  $y=20\cdot500^x$