Polynomial Graphs

Match the graph to the function

• f(x)= -x²+3x+2
• f(x) = -x³+2
• f(x) = x³+2
• f(x) = ⅓x⁴-5x²+2

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph to the function

• f(x) = -2x⁶+9x²
• f(x) = x⁴+x³-5x²-6
• f(x) = -½x⁴+1
• f(x) = -x²+3x

Tags

CCSS.HSA.APR.B.3

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.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph to the function

• f(x) = x²+7x+6
• f(x) = -x²+7x-6
• f(x) = x²-5x-6
• f(x) = -x²-7x-6

Tags

CCSS.HSF-IF.C.7A

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

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Match the graph to the function

• f(x) = ½x⁴+1
• f(x) = ½x³+1
• f(x) = -½x⁴+1
• f(x) = ½x⁵+1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even
• Ask the person sitting next to me
• Use synthetic division and see if the remainder is zero
• Flip a coin

Tags

CCSS.HSA.APR.D.6

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce back" at that zero
• The graph will "pass through" at that zero
• Zeros cannot have multiplicity of 4

Tags

CCSS.HSA.APR.B.3