Cubic and 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

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

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) = –2x⁶ + 9x²

• f(x) = x⁴ + x³ – 5x² – 6

• f(x) = –½x⁴ + 1

• f(x) = –x² + 3x

Match the graph to the function

• f(x) = –x³ + x

• f(x) = x³ – x² + 2x + 4

• f(x) = ⅝x³ + 2x²

• f(x) = ⅖x⁴ – 5x²

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

Match the graph to the function

• f(x) = ½x⁴ + 1

• f(x) = ½x³ + 1

• f(x) = –½x⁴ + 1

• f(x) = –½x³ + 1

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

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

• 3

• 2

• 1

• 0

f(x) = 2x³ - 3x² + 4x -10

State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0