Polynomial End Behavior
y = (x + 1)4
y = -(x - 1)4
y = -(x - 1)3
y = (x + 1)3
Match the function to the graph.
y = –x+ 1
y = -x+ 1
y = x+ 1
Match the 
function to 
the graph.
y = x3 + 1
y = 2x6 + 7x– 2
y = -2x4 + 4x - 2
y = -3x3 - 4x - 2
y = 5x5 + 4x– 3x - 2
Match the function to the graph.
y = 2x6 + 7x+ 2
y = -3x4  – 4x + 2
y = 5x5 + 4x3 – 3x + 2
y = -5x5 – 4x3 – 3x2 + 2
Match the function to the graph.
Match the function to the graph.
y=3x4-4x+2
y=-5x6-4x5-3x3+2
y=5x5+4x3-3x+2
y=-5x5-4x3-3x2+2
y = 3(x + 3)2
y = 2(x + 3)4
y = -(x - 3)4
y = -(x + 3)3
Match the function to the graph.
Match the function to the graph.
y = (x - 1)4 + 3
y = –2(x - 1)6 + 3
y = -2(x - 1)+ 3
y = 2(x - 1)– 3
What is the leading coefficient?  y = 5x3– 2x + 1 
What is the end behavior?  y = 5x3 – 2x + 1
What is the degree of y = 5x3 – 2x + 1?
↑   ↑
↓   ↓
↑   ↓
↓   ↑
What is the degree?  y = -2x4 – 2x3 + x - 1
What is the leading coefficient? 
What is the end behavior? 
y = -2x4 – 2x3 + x - 1
↑   ↑
↓   ↓
↑   ↓
↓   ↑
y = -2x4 – 2x3 + x - 1
Match the function to the graph.
y = –(x + 2)7 – 1
y = -3(x - 2)6 - 1
y = 3(x + 2)7 – 1
y = 2(x - 2)4 – 1
What is the end behavior? 
↑   ↑
↓   ↓
↑   ↓
↓   ↑
y = -5(x + 6)3 - 4
Match the function to the graph.
y = –1/2x4
y = –x3
y = 2x4
y = 1/2x3
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