Exponential Function

Exponential Growth or Decay

100

Determine if the exponential function represents growth or decay:

y = 2(3)^x

Growth

200

Determine if the following represents growth or decay:

y = 5 (0.45)^x

Decay

300

Determine if the following represents growth or decay:

y = 2(0.75)^-x

Growth!

400

Determine the rate of growth or decay given

y = 2(1.6)x

0.6 rate of growth

500

Determine the rate of growth or decay given

y = 7(0.85)x

0.15 rate of decay

mult. exponents

100

rewrite using positive exponents

7^3•7^10

7^13

200

rewrite using positive exponents

11^7•11^24

11^31

300

Evaluate

(2/4)^2

1/4 or 4/16

400

rewrite using positive exponents

4/5•4/5•4/5•4/5•4/5

(4/5)^5

500

rewrite using positive exponents

(2^4 )^5

2^20

div. exponents

100

rewrite using positive exponents

4^8/4^3 

4^5

200

rewrite using positive exponents

12^11/12^7 

12^4

300

rewrite using positive exponents

(9^6•9^9)/9^11 

9^4

400

rewrite using positive exponents

(3/4)^25/(3/4)^20 

(3/4)^5

500

rewrite using positive exponents

s^17/s^11 

s^6

Negative exponents

100

rewrite using positive exponents

5^-7

1/5^7

200

evaluate

3^-4

1/81

300

rewrite

7^0

1

400

rewrite using positive exponents

7^(-9)/7^3 

1/7^12

500

rewrite using positive exponents

11^(-3)/11^4 

1/11

Common Bases

100

125 = 5^x

x = 3

200

Solve for x:

8^x = 32

5/3

300

3^x-7 = 27

x = 10

400

4^2x+3 = 4³

x = 0

500

5 ^{x + 6} = 125 ^{x - 4}

x = 9