Function Analysis Jeopardy

Domain/range

100

Find the domain.

y=|x+4|-7

What is (-∞, ∞)

200

Find the range. 

y=x²+6x-36

What is [-45, ∞)

300

Find the domain. 

y=4x³+5x²-3x+7

What is (-∞, ∞)

400

Find the range. 

y=(-√x+5)-3

What is (-∞, -3]

500

Find the domain and range. 

y=(x-3)(x-2)/(x-2)(x+4)

What is D=(-∞,-4) (-4, 2) (2, ∞)

R= (-∞, -1/6) (-1/6, 1) (1, ∞)

Greater than (>0)

100

Find when it is greater than 0. 

y=|x+4|-7

What is (-∞, -11) (3, ∞)

200

Find when it is greater than 0. 

y=x²+6x-36

What is (-∞, 9.7) (3.7, ∞)

300

Find when it is greater than 0.

y=4x³+5x²-3x+7

What is (-2.0388, -1.068) (-1.068, 0) (0, ∞)

400

Find when x is greater than 0

y=(-√x+5)-3

What is never

500

Find when it is greater than 0. 

y=(x-3)(x-2)/(x-2)(x+4)

What is (-∞, -4) (3, ∞) 

Less than (<0)

100

Find when it is less than 0. 

y=|x+4|-7

What is (-11, 3)

200

Find when it is less than 0.

 y=x²+6x-36

What is (-9.7, 3.7)

300

Find when it is less than 0. 

y=4x³+5x²-3x+7

What is  (-∞, -2.0388)

400

Find when x is less than 0

y=(-√x+5)-3

What is (-5, ∞)

500

Find when it is less than 0. 

y=(x-3)(x-2)/(x-2)(x+4)

What is (-4, 2)(2,3)

Increase/Decrease

100

Find when it is increasing. 

y=|x+4|-7

What is (-4, ∞)

200

Find when it is decreasing. 

 y=x²+6x-36

What is (-∞, -3)

300

Find when it is increasing.

y=4x³+5x²-3x+7

What is (-2.0388, -1.068) (0.234, ∞)

400

Find when it is decreasing.

y=(-√x+5)-3

What is (-5, ∞)

500

Find when it is both increasing and decreasing. 

y=(x-3)(x-2)/(x-2)(x+4)

What is Increases: (-∞, -4) (-4,2) (2, ∞) Decreases: never

Fun Facts about Mr. Spillane!

100

True/False: Mr. Spillane was once duct taped to a wall.  

What is True

200

Mr. Spillane’s favorite color?

What is Blue

300

What is Mr. Spillane’s biggest fear?

What is Heights

400

What english soccer team does Mr. Spillane most like?

What is Chelsea

500

What animal does Mr. Spillane share a nickname with?

What is Wombat