graphing in factored/intercept form

Which of the following could be the equation of this graph in factored form? (Careful-pay attention to multiplicity.)

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

What does multiplicity of a zero mean?

• Look at the number of terms
• How many times the zero repeats
• Find the sum of all the coefficients
• Ratio your x and y

Which statements are true about y=2(x-3)(x+1)²?

• 3 is a zero of the function.

• The function will cross the x-axis at x = -1.

• As x gets larger the function increases.

• The function has a degree of 3.

• The function has an x-intercept at x = -3.

Which of the following could be the factored form for the equation representing the graph shown?

• (x+3)(x-2)(x-5)
• (x-5)²(x-2)(x+3)
• (x-3)(x+2)(x+5)²
• none of these

Which roots have even multiplicity?

• -3

• 0

• 2

• Cannot be determined

• The degree is 4.

• The roots are:

  -5, -4, 1, 3

• The lead coefficient is negative.

• The end behaviors are both -∞.

• The y-intercept is (0,0)

Identify the zeros.

• -2

• -1.25

• 0

• 0.6

• 1

Describe the end behaviors of the polynomial.

• None of the above

Describe the end behaviors of the polynomial.

• None of the above