Turning points
zeros
parent function& end behavior
Increasing intervals/domain
decreasing intervals/ range
100

what are the turning points for f(x)=x3 - 2x2 + 4?


Max: (0,4)

Min:(1.33,2.81)

100

What are zeros?

Where the line crosses or touches the x-axis

100

What is a parent function?

The shape of the graph. 

100

what is the increasing intervals for f(x)= x3 - 2x2+ 4?

(-inf,0] [1.3,inf)

100

what is range?

The possible "y" values of a function. 

200

what is turning points? 

when the graph switches from an increasing or decreasing interval.

200

what is multiplicity?

Tells us whether the graph intersects or touches at that root/zeros.  

200

What is the parent function for x4+x3-4x2+5?

4
200

what is a domain?

The allowable "x" values of a function. 

300

-x3 + 6x2 - 10x + 4

what are the turning points?

max= (2.82,1.09)

min= (1.18,-1.09)

300

What is end behavior? 

The trend of the graph.

300

2x- 7x2 + 6 

What is the domain 

(-inf,inf)

400

2x3 - 4x- x 

what are the turning points? 

Max= (-0.12,0.06)

Min= (1.45,-3.76)

400

f(x)=4x4+6x3-x

as x reaches infinity f(x) reaches infinity

as x reaches -infinity f(x) reaches infinity

400

x4 - 4x3 + 3x2 + 4x -5

what are the increasing intervals?

[-0.37,1.37] [2,inf)

500

x4 + x3 -4x2 +5

what are the turning points?

max= (0,5)

Min= (-1.84, -3.31)(1.9,2.95) 

500

f(x)= 2x3

as x reaches infinity, f(x) reaches infinity

as x reaches -infinity, f(x) reaches negative infinity

500

-x4 + 2x2 - x - 2

what are the increasing intervals?

(-inf,-1.11] [0.27,0.84]

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