Polynomial Graph Behavior

If a polynomial function has an evendegree and the leading coefficient is positive, What does f(x) approach?

• f(x) → ∞

• f(x) → -∞

• f(x) → 0

• f(x) → -7

What do real zeros of a polynomial function correspond to?

• y-intercepts

• x-intercepts

• Maximum points

• Minimum points

If a polynomial function f has a real zero at c of multiplicity k, and k is even, what is the behavior of the graph of f near c?

• The graph crosses the x-axis at c.

• The graph touches the x-axis at c.

• The graph has a maximum point at c.

• The graph has a minimum point at c.

If a polynomial function f has a real zero at c of multiplicity k, and k is odd, what is the behavior of the graph of f near c?

• The graph crosses the x-axis at c.

• The graph touches the x-axis at c.

• The graph has a maximum point at c.

• The graph has a minimum point at c.

What is the maximum number of turning points that the graph of a polynomial function of degree n can have?

• n

• n + 1

• n - 1

• 2n - 1

• 2

• 3

• 4

• 5

Match the picture to the parent power function that could be correct.

Match the picture to the parent power function that could be correct.

Which of the following functions is odd?

• f(x) = x^2

• f(x) = x^4

• f(x) = -4x^3

• f(x) = 2x^6