End Behavior

What is the end behavior of odd degree polynomial functions?

• The ends point in opposite directions

• The graph is always a parabola

• The ends point in the same direction

• The graph is always a straight line

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What happens to the graph of an odd degree polynomial with a positive leading coefficient?

• Remains constant

• Starts pointing down and ends pointing up

• Starts and ends pointing down

• Starts pointing up and ends pointing down

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

How does the graph of y = x^3 generally look?

• Inverted U-shaped

• Straight line

• S-shaped

• U-shaped

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the end behavior of even degree polynomial functions?

• The graph is always a parabola

• The ends point in opposite directions

• The graph is always a straight line

• The ends point in the same direction

Tags

CCSS.HSF.IF.C.7

What does a negative leading coefficient do to the graph of an even degree polynomial?

• Makes the graph a straight line

• Causes the graph to point upwards

• Causes the graph to reflect across the y-axis

• Causes the graph to reflect across the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

What is the shape of the graph of y = x^2?

• Straight line

• U-shaped

• Inverted U-shaped

• S-shaped

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the left behavior of a graph when x approaches negative infinity and the leading coefficient is positive?

• Y approaches negative infinity

• Y remains constant

• Y approaches zero

• Y approaches positive infinity

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

For an odd degree polynomial with a negative leading coefficient, what is the right behavior of the graph?

• As x approaches positive infinity, y approaches positive infinity

• As x approaches positive infinity, y approaches negative infinity

• As x approaches positive infinity, y remains constant

• As x approaches positive infinity, y approaches zero

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the general behavior of the graph of y = x^4?

• Straight line

• U-shaped, but flatter near the origin

• S-shaped

• Inverted U-shaped

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What does the term 'end behavior' refer to in polynomial functions?

• The slope of the graph

• The direction the graph points as x approaches positive or negative infinity

• The direction the graph points at the x-intercepts

• The maximum and minimum points of the graph

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7