2.8 Practice - Analyze Graphs of Polynomial Functions

Simplify:
(3x - 5) ( 4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15
• 12x³ - 20x² - 5x + 15
• 12x³ - 20x² - 6x + 15
• 12x³ - 26x² + x + 15

Tags

CCSS.HSA.APR.A.1

What is the y-intercept of the following cubic function?

• (1, 0)
• (0, 2)
• (-1, 0)
• (2, 0)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the
zeros of the polynomial
y = (x + 4)(x + 1)(x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3
• 0, -1, 3
• 1, -3
• 0, -3, 1

Describe the transformation of the graph  y = - ½(x + 4)³ - 1

• Left 4 and Down 1
• Reflected x-axis, Down 1, Left 4, Vertically Shrunk by a factor of 1/2
• Reflected x-axis, Down 1, Right 4, Vertically Shrunk by 1/2
• Reflected x-axis, Up 1, Right 4, Vertically Shrunk by a factor of 1/2

Which point does not represent a zero of a polynomial?

• (-2, 0)
• (-1, 0)
• (0, 4)
• (2, 0)

What could be the equation for this graph?

• y = -2x³ + 1x + 3
• y = (x - 2)(x + 1)(x + 3)
• y = (x + 2)(x - 1)(x - 3)
• y = -2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Using your CALCULATOR, What are the zeros of the function f(x) = -2x³ - 4x² + 6x?

• x = 0, -2, -3, 1
• x = -3, 1
• x = 0, 3, -1
• x = 0, -3, 1

What is another way to say "where a function crosses the x-axis"?

• x-intercept
• zero
• root
• all of these.

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

How many extrema (maxes and mins) are in the picture?

• 2
• 3
• 4
• 5