Analyze Polynomial Graph

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

If a zero of a polynomial function has multiplicity 3 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

How many extrema (maxes and mins) are in the picture?

• 2

• 3

• 4

• 5

What is the relative maximum value?

• (2,4)

• (0,2)

• (-2 0)

• (4,0)

In the above graph complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

What is the y-intercept of the following cubic function?

• (1, 0)

• (0, 2)

• (-1, 0)

• (2, 0)

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1

• Reflected x-axis, Down 1, Left 4, Vertically Shrunk by a factor of 1/2

• Reflected x-axis, Down 1, Right 4, Vertically Shrunk by 1/2

• Reflected x-axis, Up 1, Right 4, Vertically Shrunk by a factor of 1/2

Tags

CCSS.HSF.BF.B.3

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

Identify the any local maximums for the following function:
g(x)=2x³-3x²

• (0, 0)

• (1, -1)

• (-1, -5)

• (0, 1) 

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum