Polynomial Functions Graphs

The function shown has:

• Degree two with negative leading coefficient.

• Degree three with negative leading coefficient.

• Degree four with negative leading coefficient.

• Degree four with positive leading coefficient.

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

Tags

CCSS.HSA.APR.B.3

State the minimum degree of the function shown:

• 3

• 4

• 5

• 6

The function shown contains:

• Only one local maximum.

• Two local maximums.

• Two local minimums.

• Three local maximums

What is the DOMAIN of the graph?

• All real numbers

• [0, ∞)

• y ≥ 0

• (-∞, ∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the RANGE of the graph?

• All real numbers

• [0, ∞)

• y ≥ 0

• (-∞, ∞)

Tags

CCSS.HSF-IF.C.7A

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17

• f(x)= -(x-17)²

• f(x)= -(x+17)²

• f(x)= -x²+17

If red represents y = x², which equation represents black?

• y = 7x²

• y = -7x²

• y = -(1/7)x²

• y = -5x²

The blue dot on this graph represents a(n)...

• Absolute Maximum

• Absolute Minimum

• Local Maximum

• Local Minimum