Exponential Functions Jeopardy

Growth or Decay?

100

Is the following growth or decay: f(x) = 2^x ?

What is growth?

200

Is the following growth or decay: f(x)=100(0.5)^x

What is decay?

300

Is the following growth or decay: f(x)= 100(1.4)^x?

What is growth?

400

Is the following growth or decay: f(x) = 7 (0.94)^x?

What is decay?

500

Is the following growth or decay:

 f(x) = -350 (1.25)^x ?

What is growth or reflection of a growth?

Transformations

100

What are all of the transformations from left to right? First answer must be growth/decay.

f(x) = 2(3/2)^x -1

What is Growth, vertical stretch of 2, vertical shift down 1?

200

What are all of the transformations from left to right? First answer must be growth/decay.

f(x) = -.5^x

What is Decay, reflection across the x-axis?

300

What are all of the transformations from left to right? First answer must be growth/decay. 

f(x) = ¼(½)^x

What is Decay, vertical shrink 1/4?

400

What are all of the transformations from left to right? First answer must be growth/decay.

f(x) = -2^x -3

What is Growth, reflection accross x-axis, vertical shift down 3?

500

What are all of the transformations from left to right? First answer must be growth/decay. 

f(x) = 3(.5)^x⁺² +5

What is Decay, vertical stretch of 3, horizontal shift left 2, vertical shift up 5?

AROC

100

What is the AROC of y=2^x 0 < x < 9?

What is 511/9 ?

200

What is the AROC of y=-2^x 0 < x < 3?

What is -7/3?

300

What is the AROC of y = 250(1.2)^x 0 < x < 2?

What is 55?

400

What is the AROC of y = 50(.5)^x -2 < x < 0?

What is -75 ?

500

What is the AROC of y = 25(2)^x+2 1 < x < 3?

What is 300?

Key Features

100

What is the domain for ALL exponential functions?

What is (-infinity, +infinity)?

200

What does the range always have to include for an exponential?

What is an asymptote?

300

Which one does it have AND what is the interval of increase/decrease for 

y = 2^x + 3 ?

What is interval of increase and (-infinity, +infinity)?

400

What is the asymptote for y = 5 ^x ?

What is y = 0 ?

500

What is the range for y = - 3 (4) ^x + 5 ?

What is (- infinity, 5 ) ?

Intercepts/End Behavior

100

What is the x-intercept of y=4 ^x?

What is none?

200

What is the y-intercept of y= 2^x+3 - 5 ?

What is (0,3)?

300

What is the end behavior for

y = 2^x + 3 ?

x-> - infinity, y -> ___________

x-> + infinity, y -> ___________  

What is 

x-> - infinity, y ->  3

x-> + infinity, y -> + infinity ?

400

What is the end behavior for

y = - 2^x + 4 ? 

x-> - infinity, y -> ___________

x-> + infinity, y -> ___________  

What is 

x-> - infinity, y ->  4

x-> + infinity, y -> - infinity ?

500

What is the end behavior for

y = - 4 (1/3)^x + 2 ?

x-> - infinity, y -> ___________

x-> + infinity, y -> ___________  

What is 

x-> - infinity, y -> - infinity 

x-> + infinity, y -> 2 ?