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

All I do is solve

100

Solve:

3(x-2)=12

x=6

200

Simplify

2(3x+4) - 5(x- 3)

x+23

300

An invisible boundary in which a function approaches but does not pass? 

Asymptote 

400

Where a function crosses an axis

intercept

500

A point on a graph where no other points nearby have           lesser y-value

Relative Minimum