Polynomial Functions Quiz

What is the degree of the polynomial function f(x) = 3x^4 - 2x^2 + 5?

• 4

• 5

• 2

• 3

Find the zeros of the polynomial function g(x) = x^2 - 4x + 4.

• x = 3

• x = -2

• x = 2

• x = 5

Graph the polynomial function h(x) = -2x^3 + 3x^2 - 6x + 1.

• The function has no real roots

• The function is a quadratic equation

• The explanation provides the steps to graph the polynomial function h(x) = -2x^3 + 3x^2 - 6x + 1.

• The function is linear

Determine the end behavior of the polynomial function p(x) = 4x^5 - 2x^3 + x.

• As x approaches positive infinity, p(x) increases without bound. As x approaches negative infinity, p(x) decreases without bound.

• As x approaches positive infinity, p(x) approaches a constant value. As x approaches negative infinity, p(x) approaches a constant value.

• As x approaches positive infinity, p(x) oscillates between positive and negative values. As x approaches negative infinity, p(x) oscillates between positive and negative values.

• As x approaches positive infinity, p(x) decreases without bound. As x approaches negative infinity, p(x) increases without bound.

Solve the equation x^2 - 9 = 0 for x.

• x = ±2

• x = ±4

• x = ±5

• x = ±3

Identify the degree of the polynomial function f(x) = -x^3 + 2x^2 - 4x + 7.

• 2

• 5

• 4

• 3

What are the zeros of the polynomial function g(x) = 2x^2 - 8x?

• x = -4 and x = 2

• x = 3 and x = 5

• The zeros of the polynomial function g(x) = 2x^2 - 8x are x = 0 and x = 4.

• x = 2 and x = 6

Sketch the graph of the polynomial function h(x) = x^4 - 4x^2 + 4.

• The graph of h(x) = x^4 - 4x^2 + 4 has no x-intercepts.

• The graph of h(x) = x^4 - 4x^2 + 4 is a straight line passing through the origin.

• The graph of h(x) = x^4 - 4x^2 + 4 is a perfect circle.

• The graph of h(x) = x^4 - 4x^2 + 4 resembles a 'W' shape, touching the x-axis at x = 0 and having a local minimum at (0, 4).

Explain the end behavior of the polynomial function p(x) = -3x^4 + 2x^2 - 5.

• As x approaches negative infinity, p(x) approaches positive infinity. As x approaches positive infinity, p(x) approaches negative infinity.

• As x approaches negative infinity, p(x) approaches negative infinity. As x approaches positive infinity, p(x) approaches positive infinity.

• As x approaches negative infinity, p(x) approaches negative infinity. As x approaches positive infinity, p(x) approaches negative infinity.

• As x approaches negative infinity, p(x) approaches zero. As x approaches positive infinity, p(x) approaches zero.

Find the solutions to the equation 2x^2 - 18 = 0.

• x = ±9

• x = ±3

• x = ±6

• x = ±12