Unit 6 Exponential Functions Review

Geometric Sequences

100

7, 49,392,...

The common ratio is? 

7

200

1000, 600, 360, ....

What is the common ratio?

0.4

300

4, -16, 64, -256,...

The next three terms are? 

1024, -4096, 16384

400

1200, 600, 300,...

What is the explicit function for the geometric sequence?

f(x) = 1200(0.5)^(x-1)

500

What is the 13th term for the given geometric sequence?

3, 15, 75, 375...

732,421,875

Evaluating

100

Simplify

12⁰

1

200

Simplify:

(1/3)^-4

1/81 or 1/3⁴

300

Simplify:

(2/5)^-3

125/8 or 5³/2³

400

f(x)= 500(0.4)^x  when x=6

2.048

500

y= (2/5)(3.8)^x  when x = 9

66,086.44

Growth or Decay

100

f(x) = 4(1.05)^x

Growth 

200

y = 4^x

Growth

300

f(x) = 3(1/3)^x

decay

400

Y = 5x + 3 

neither this is linear

500

The number of bacteria triple every hour 

growth

Vocabulary

100

Each term is multiplied by the same number to get the next term 

common ratio (r)

200

A type of graph where the points are not connected (given domain or represents things that have to be a whole )

Discrete graph

300

A function with a variable in the exponent 

Exponential Function

400

What is the difference between a linear function and an exponential function?

Linear has no exponents and creates a straight line

Exponential has variable in the exponent and curves 

500

The line that an exponential function never crosses 

asymptote 

Transformations

100

What is the parent function?

f(x) = (1/2)^x - 7 

(1/2)^x

200

What is the parent function here?

y= - 4^x - 5

4^x

300

What transformation is happening: 

y = -(3)^x

Vertical flip

400

What transformation is happening?

f(x) = (2.2)^x - 4

Moves down 4 

500

What transformation is happening here:

y= - 4^x + 5

Vertical flip and moves up 5