Characteristics of Polynomial Graph

Use the degree and the leading coefficient to determine the end behavior. f(x) = 2x³ - x + 5

• Left up, Right up

• Left up, Right down

• Left down, Right up

• Left down, Right down

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

Use the degree and the leading coefficient to determine the end behavior.

f(x) = -x⁵ - 4x +2

• Left up, Right up

• Left up, Right down

• Left down, Right up

• Left down, Right down

Describe the end behavior of the graph.

• x → +∞, y→ +∞ and

  x→ -∞, y→ -∞

• x → +∞, y→ +∞ and

  x→ -∞, y→ +∞

• None of these

• x → +∞,y→ -∞ and

  x→ -∞, y→ -∞

Tags

CCSS.HSF-IF.C.7A

Describe the end behavior of the graph.

• x → +∞, y→ -∞ and x→ -∞, y→ -∞

• x → +∞, y→ +∞ and x→ -∞, y→ +∞

• x → +∞, y→ +∞ and x→ -∞, y→ 0

• x → +∞,y→ +∞ and x→ -∞, y→ -∞

Describe the end behavior of the graph.

• x → +∞, y→ -∞ and x → -∞,y→ -∞

• x → +∞, y→ +∞ and x→ -∞, y→ +∞

• x → +∞, y→ +∞ and x→ -∞, y→ 0

• x → +∞,y→ +∞ and x→ -∞, y→ -∞

Tags

CCSS.HSF-IF.C.7A

Which function has this end behavior?
Note: f(x)=y

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

Which function has this end behavior?
Note: f(x)=y

• -1x⁴-3x³+3

• -2x⁷+2x⁴+4

• 3x⁸+3x⁵-4x+7

• 4x⁵-4x⁴+2x³-9

Determine the end behavior of the graph of
f(x) = 3x⁴ + 2x - 5
Note: f(x)=y

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

How many turning points does the function have?

• 2

• 3

• 4

• 5