Intro to Exponential Functions

What pattern do you see in this table?

• The number of circles increases by 2 from one stage to the next

• The number of circles doubles from one stage to the next

• The number of circles increases by 2 then by 4 for the rest of the stages

• There is no pattern

Observe the patterns on this table, what does Jada and Noah's stage 5 look like? (Hint: more than one answer!)

•  $2\times2\times2\times2\times2$  

•  $2^5$  

•  $2\times2\times2\times2\times1$  

•  $5^2$  

•  $5\times5\times5\times5\times5$  

• $1^4$

• $2^3$

• $1^2$

• $2^5$

• $4^2$

Which one is an exponential function?

• A

• B

• C

• B and C

• None of them.

Fill in the blank: 
 $2^{10}$ is  ____ times bigger than  $2^8$ .

• 2

• 4

• 8

• 10

Which rule should I use to simplify?

• Power Rule

• Multiplication Rule

• Quotient Rule

• None of these.

Which chart represents an exponential function? (Hint: pay close attention to the y-rows)

• A

• B

• Neither.

What is the y-intercept of this exponential function?

• 2

• 3

• 4

• 5

What is the initial amount, for the function: $f\left(x\right)=300\left(1.16\right)^x$  ?

• 0.16

• 1.16

• 300

• x

Which function represents the table of values?

• $f\left(x\right)=4x$

• $f\left(x\right)=x^4$

• $f\left(x\right)=4^x$
  

• $f\left(x\right)=4^{x-1}$