Polynomial Function (End Behavior, Turning Points and Classification)

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

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

Fill in the blank:  The maximum number of turning points is ____ less than the degree of the polynomial.

• 0

• 1

• 2

• 3

What is the minimum of this graph?

• 2

• 4

• -3

• -1

Find the function's maximum and minimum points

• no maximum

  minimum (-4,-1)

• no minimum

  maximum (-3, 1)

• no maximum

  minimum (-1,-4)

• maximum (-3,1)

  minimum (0,-3)

What are the x-intercepts of
f(x)=(x - 10)(x + 10)

• 10

• (10 , 0) and (-10 , 0)

• (0, -10) and (0, 10)

• 0

Tags

CCSS.HSF-IF.C.7C

Find the correct statement about the zeros.

• −5 is a zero with multiplicity 1

• −5 is a zero with multiplicity 2

• −2 is a zero with multiplicity 1

• 2 is a zero with multiplicity 2

Tags

CCSS.HSF-IF.C.7C

Over what intervals is f(x) decreasing?

• (-∞, -1) ∪ (1, ∞)

• (-∞, -√3) ∪ (0, √3)

• (-1, 1)

• (-√3, 0) ∪ (√3, ∞)

If the there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?

• Even

• Odd

• None

Tags

CCSS.HSF-IF.C.7C

Even Degree
- Leading Coeff. Even Degree
+ Leading Coeff. Odd Degree
- Leading Coeff. Odd Degree
+ Leading Coeff.

• Even Degree
  - Leading Coeff.

• Even Degree
  + Leading Coeff.

• Odd Degree
  - Leading Coeff.

• Odd Degree
  + Leading Coeff.

Even Degree
- Leading Coeff. Even Degree
+ Leading Coeff. Odd Degree
- Leading Coeff. Odd Degree
+ Leading Coeff.

• Even Degree
  - Leading Coeff.

• Even Degree
  + Leading Coeff.

• Odd Degree
  - Leading Coeff.

• Odd Degree
  + Leading Coeff.