Graph Features Final Review

What is the End behavior on the left side

• x →-∞, y→∞
• x →∞, y→-∞
• x →-∞, y→-∞
• x →∞, y→∞

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

What is the End behavior on the left side

• x →-∞, y→∞
• x →-∞, y→-∞
• x →∞, y→∞
• x →∞, y→∞

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

A polynomial function has zeros at 5 (multiplicity 2), 3 (multiplicity 1), and 0 (multiplicity 4). Write a function rule that could represent this function.

What is the equation in factored form of this graph?

• 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 could be the function for this graph in factored form?

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

Based on the x-intercepts, shape, and end behavior shown, which of the following could be an equation for the function shown?

• y=x(x+2)(x-1)

• y=x(x-2)(x+1)

• y=-3x(x+2)(x-1)

• y=-2x(x-2)(x+1)

What is/are the increasing interval(s) for the function shown?