Polynomials Graphs

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Tags

CCSS.HSA.APR.B.3

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

If a zero of a polynomial function has multiplicity 2 that means:

• The x intercept is at (2, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 2

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

Tags

CCSS.HSF-IF.C.7C

Find the root(s) of the function.

• x = 3

• x = -3, -1, 2

• x = -3, 2

• x = -1

What is another word for zeros?

• solutions

• x -intercepts

• roots

• All of the these!

Tags

CCSS.HSF-IF.C.7C

Which function has this end behavior?

• -x²-3x+1

• -x³+2x²+3

• x⁴+3x³-4x+1

• x⁵-4x⁴+2x²-1

If f(x) = 2x³-13x²+36, is x = 6 an x-intercept?

• No, because f(6) = 30

• Yes, because f(6) = 0

• Yes, because f(6) = 30

• No, because f(6) = 0

Tags

CCSS.HSF-IF.C.7C