Sketching Graphs of Polynomials

For the following polynomial, will the left side of the graph have an arrow pointing up, or an arrow pointing down? f(x)=- (x-1)^4

• Up

• Down

For the following polynomial, will their ends go in the same direction or opposite directions? f(x)=(x-1)³(x-2)

• Same
  

• Opposite

What are the "zeros" of this polynomial?

• -2, -1

• -2, -1, 0, 1, 2

• -2, -1, 1, 2

• -2, -1, 4, 1, 2

Tags

CCSS.HSF-IF.C.7C

What are the "zeros" of this polynomial? List your answer(s) as single numbers, separated by commas if more than one answer.

Tags

CCSS.HSA.APR.B.3

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6

• f(x) = x⁴+3x²-3x+1

• f(x) = -x³+2x²-x-6

• f(x) = x⁴+x³+5x²-6

What is the degree and end behaviors of the function behind this text? (As x−>∞, as x−>-∞, as usual...)

• 2; ∞,-∞

• 3; ∞,∞

• 4; ∞,∞

• 6; ∞,∞

Match the graph to the function

• f(x) = x⁵-1

• f(x) = x⁵-6x³+8x+1

• f(x) = x³+8x+1

• f(x) = -x⁵-6x³+8x+1

Match the graph to the function

• f(x) = -x³+x

• f(x) = x³-x²+2x+4

• f(x) = ⅝x³+2x²

• f(x) = ⅖x⁴-5x²

Tags

CCSS.HSA.APR.B.3

Match the graph to the function

• f(x) = -2x⁶+9x²

• f(x) = x⁶-7x⁴+12x²-x-2

• f(x) = x⁶-3x³+x+2

• f(x) = -x⁶+5x⁴+3x-2

What is the smallest possible degree of the function

• 1st

• 3rd

• 4th

• 5th

Tags

CCSS.HSA.APR.B.3