Polynomial Functions Unit 3 - Non Calc

As the value of x increases, the value of f(x) increases. As the value of x decreases, the value of f(x) decreases. Which polynomial function exhibits the same end behavior as f(x)?

• Translation right 2 and up 5

• Translation left 2 and down 5

• Translation left 2 and up 5

• Translation right 2 and down 5

A student lists all intercepts of a polynomial function, g(x), in the table.

| x | g(x) |
|----|------|
| -4 | 0 |
| 0 | 80 |
| 2 | 0 |
| 5 | 0 |

Which equation represents g(x)?

• g(x) = (x + 4)(x - 2)(x - 5)

• g(x) = 2(x + 4)(x - 2)(x - 5)

• g(x) = (x - 4)(x + 2)(x + 5)

• g(x) = 2(x - 4)(x + 2)(x + 5)

If the diameter of a cylinder is equal to its height, then the volume of the cylinder can be written as V(d) = (π/4)d³. What type of function best represents the volume of this cylinder?

• Quadratic

• Cubic

• Linear

• Absolute Value

If the binomial (x + 4) is a factor of the polynomial function g(x), which statement must be true?

• g(4) = 0

• g(-4) = 0

• g(4) = 4

• g(-4) = -4

A polynomial function has factors of (x - 1), (x + 3), and (x - 4). Which of the following graphs could represent the polynomial function?

• A graph that crosses the x-axis at x = 1, x = -3, and x = 4

• A graph that crosses the x-axis at x = -1, x = 3, and x = -4

• A graph that crosses the x-axis at x = 1, x = 3, and x = -4

• A graph that crosses the x-axis at x = -1, x = -3, and x = 4

Look at graph A. What type of function does this graph represent?

• Linear

• Quadratic

• Cubic

• Quartic

Look at graph B. What type of function does this graph represent?

• Linear

• Quadratic

• Cubic

• Quartic

The graph of the function f(x) = x³, will be shifted down 2 units and to the right 3 units. Which is the function that corresponds to the resulting graph?

Consider the polynomial function.

g(x) = 3(x + 4)(x - 2)(x - 8)

Which zeros can be used to graph the polynomial function?

• x = -8, -4, 2, and 4

• x = -8, -4, and 2

• x = -4, 2, and 8

• x = -4, 2, and -8