Polynomial Functions

Determine the end behavior of the graph of 
f(x) = -7x⁴ + 2x - 1

• As x→ -∞, f(x)→-∞.

  As x→ ∞, f(x)→∞.

• As x→ -∞, f(x)→ ∞.

  As x→ ∞, f(x)→ ∞.

• As x→ -∞, f(x)→ ∞.

  As x→ ∞, f(x)→ -∞.

• As x→ -∞, f(x)→ -∞.

  As x→ ∞, f(x)→ -∞.

Roots:

Roots, zeros, x-intercepts, and solutions all mean the same thing.

• True

• False

Tags

CCSS.HSF-IF.C.7C

Find the roots in simplest form of the equation. You do not need to find them algebraically.

• ±2, ±2/3

• ±2

• 0, 16

• ±6, ±6/7

• 1.16 and 7.42

• 4.3

• 0 and 6

• 1.15587 and 7.41556

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write a function in factored form that would match the graph.

• f(x) = -(x+8)(x+2)

• f(x) = (x-8)(x-2)

• f(x) = (x+8)(x+2)

• f(x) = -(x-8)(x-2)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write a function in factored form that would match the graph.

(Click on the image to make it bigger)

• f(x) = 3(x+2)²(x-5)²

• f(x) = 3(x-2)(x+5)

• f(x) = (x+2)(x-5)

• f(x) = 100(x-2)²(x+5)²

Tags

CCSS.HSA.APR.B.3

Determine the domain on which f(x) > 0.

• (3, 7)

• (-∞, 3)

• (-∞, 5)

• all real numbers

Tags

CCSS.HSF-IF.C.7A

Determine the domain on which the f(x) is negative.

• (-∞, -4) U (0, ∞)

• (-4, 0)

• (-∞, 0)

• (-2, 0) U (0, ∞)

• x = 4 OR x = 0

Tags

CCSS.HSF-IF.C.7A

Determine the domain on which the function is decreasing.

• (3, ∞)

• (1, 5)

• (-∞, 3)

• (-∞, 5)

The function f(x) is graphed below. What is true about the graph on the interval from point b to point c?

• It is positive and increasing

• It is negative and increasing

• It is positive and decreasing

• It is just negative