Warm Up [2/10] - Polynomial Graphs

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Up  
   Right side: Up

• Left Side:  Up
  Right side: Down

• Left side: Down
  Right side: Up

• Left side: Down
  Right side: Down

• A.
• B.
• C.
• D.

What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

If a zero of a polynomial function has multiplicity 2 (is a double), that means:

• There is a zero at 2

• The graph will "bounce" off the x-axis at that zero

• The graph will "cross" the x-axis at that zero

• Double zeros don't exist

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

​ Express the END BEHAVIOR of the graph shown.

As x→​ ∞, (a)  

As x →​ -∞, ​ ​ (b)  

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7