Exponential Function Jeopardy Template

Exponential, Linear or Neither?

Exponential Growth or Decay

mult. exponents

div. exponents

variables w/ exponents

Negative exponents

Common Bases

100

The population of mice in a lab study triples every month.

Exponential

100

Given the equation, what is the y-intercept?

y = 1/2(3)^x

1/2

100

rewrite using positive exponents

7^3•7^10

7^13

100

rewrite using positive exponents

4^8/4^3

4^5

100

rewrite using positive exponents

p^13*P^11

p^24

100

rewrite using positive exponents

5^-7

1/5^7

100

125 = 5^x

x = 3

200

Given y = 5(1/2)^x

Exponential

200

Make a table for the equation :

y = 5 (2)^x

x y

0 5

1 10

2 20

3 40

200

rewrite using positive exponents

11^7•11^24

11^31

200

rewrite using positive exponents

12^11/12^7

12^4

200

rewrite using positive exponents

x^12/x^9

x^3

200

evaluate

3^-4

1/81

200

Solve for x:

8^x = 32,768

300

Given y=5 - 0.5x

Linear

300

Determine if the following represents growth or decay:

y = 2(0.75)^-x

Growth!

300

Evaluate

(2/4)^2

1/4 or 4/16

300

rewrite using positive exponents

(9^6•9^9)/9^11

9^4

300

rewrite

x^2/x^2

300

rewrite

7^0

300

3^x-7 = 27

x = 10

400

Is the equation y=x² linear, exponential, or neither?

Neither

400

Determine the rate of growth or decay given

y = 2(1.6)x

0.6 (60%) rate of growth

400

rewrite using positive exponents

4/5•4/5•4/5•4/5•4/5

(4/5)^5

400

rewrite using positive exponents

(3/4)^25/(3/4)^20

(3/4)^5

400

rewrite using positive exponents

n^10 * n^4 *n

n^15

400

rewrite using positive exponents

7^(-9)

1/7^9

500

Given the coordinates (2, 3), (3,9) and (4, 27), determine the exponential function (of the y = a(b)^x)

y = (1/3)3^x

500

Determine the rate of growth or decay given

y = 7(0.85)x

15% rate of decay

500

rewrite using positive exponents

(2^4 )^5

2^20

500

rewrite using positive exponents

s^17/s^11

s^6

500

rewrite using exponents

6v^2•6v^2

36v^4

500

rewrite using positive exponents

11^(-3)/11^4

1/11