# data[].attributes.body
What do you know about f ???

# data[].attributes.body
cc up- (-1,2)(4,inf)

# data[].attributes.body
decr: (-3,5

# data[].attributes.body
decreasing: (-3,2) (2,5) - F' < 0
increasing: (-∞,-3) (5,∞) - F' > 0

# data[].attributes.body
increasing (-inf, -3) (5, +inf)
f' > 0
decreasing (-3, 2) (2,5)
f' < 0
max where x=-3
f' changes from + to -
min where x=5
f' changes from - to +
concave up (-1.5, 2) (4, +inf)
f' is increasing
concave down (-inf, -1.5) (2,4)
f' is decreasing
pt of inflection where x=-1.5, x=2,  x=4
f' changes signs

# data[].attributes.body
dec (-3, 2) (2, 5) bc f' <0
max at x= -3 bc f' changes + to -
min at x= 5 bc f' changes - to +
cc up (-1.5, 2) (5, pos inf)
cc down (neg inf, -1.5) (2, 5)
infl pt at x= -1.5, 2, 5

# data[].attributes.body
increasing (-inf, -3) (5, inf)
f' greater than 0

decreasing (-3, 2) (2,5)
f' less than 0

maximum at x=-3
f prime changes + to -

minimum at x=5
f prime changes - to +

concave up (-1.5, 2) (4, inf)
f prime is increasing

concave down (-inf, -1.5) (2,4)
f prime is decreasing

inflection points at x= -1.5, 2, 4
f prime extreme values

# data[].attributes.body
Inf Pt: x=-1.5, 2, 4

# data[].attributes.body
min x= 5, f' changes from - to +
inc (-inf, -3) (5, inf) f' > 0
dec (-3, 5) f' < 0
pt. of inf: x=-1.5, 2, 4, f' extreme values
cc up: (-1.5, 2) (4, inf) f' increasing
cc down: (-inf, -1.5) (2, 4), f' decreasing

# data[].attributes.body
min x=5

# data[].attributes.headline
increasing from (-infinity, -3) (5, infinity) f'>0

# data[].attributes.subject
increasing from (-infinity, -3) (5, infinity) f'>0

# data[].attributes.body
decreasing from (-3,2) (2,5) f'<0
Max: x=-3  f' changes from + to -
Min: x=5 f' changes from - to +
CC Up: (-3/2,2) (4, infinity) f' increases
CC Down: (-infinity, -3/2) (2,4) f' decreases
POI: x=-3/2 x=2 x=4 f' extreme values

# data[].attributes.body
Min@ x=5 f' changes from - to +

# data[].attributes.body
decreasing from (-3,5)
increasing from (neg inf,-3) & (5, pos inf)
max @ X=-3 min@ x= 5

# data[].attributes.body
poi- -1.5, 2, 4

# data[].attributes.body
concave up (-inf,0)(3, inf)F' increasing
concave down (0,30 F' decreasing
increasing (-inf,-3)(5,inf)F'>0
decreasing (-3,5) F'<0
Max X=2 F' changes + to -
Min X=-1.5, X=4 F' changes - to +

# data[].attributes.body
x=-1.5, 2, 4 are inflection points

# data[].attributes.body
Decreasing from (-3,2) and (2,5)

# data[].attributes.body
decreasing (-inf, -1) (

# data[].attributes.body
increasing: (-∞, -3) (5, ∞)
f ' > 0
decreasing: (-3,5)
f ' < 0
maximum: x = -3
f ' changes from + to -
minimum: x = 5
f ' changes from - to +
concave down: (-∞, -1.5) (2,4)
f ' is decreasing
concave up: (-1.5, 2) (4, ∞)
f ' is increasing
inflection points: x = -1.5 , 2 , 4
f ' extreme points

# data[].attributes.body
Max x=-3

# data[].attributes.body
inc (

# data[].attributes.body
F`>0

# data[].attributes.body
Min @ x=5

# data[].attributes.body
decreasing (-3,5) f1 < 0 ,increasing -inf.,-3) (5, inf.) f1 > 0 max: x=-3 , f1 changes + to -, min: x=5, f1 changes - to +, Cc up (4, inf.) (-2, 2), f1 is increasing, Cc down (-inf., -1.5) (2,4), f1 is decreasing. points of inflection x= -1.5, x=2, x=4 f1 extreme values

# data[].attributes.body
decreasing: (-3,2) ; (2,5) - f' < 0
increasing: ()

# data[].attributes.body
increasing (-inf, -3) (5, +inf)
f' > 0
decreasing (-3,5)
f' < 0