9.4 Review for Test

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• $\pm1,\pm2,\pm4,\pm8,\pm16$

• $\pm1,\pm4,\pm\frac{1}{4}$

• -2 and-4

Tags

CCSS.HSA.APR.B.2

List all possible rational roots for the given function:

f(x) = 2x³ - 11x² + 12x + 9 = 0

• ±1,±2

• ±1,±3,±9

• ±1,±3±9,±1/2,±3/2,±9/2

• ±1,±2,±1/3,±2/3,±1/9,±2/9

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

Find all the real roots of the given function:

f(x) = x³ - 7x - 6 = 0

• 1, 2, 3

• -1, -2, - 3

• -1, -2, 3

• 1,-2,-3

Find the cubic function whose graph passes through the given points:

(hint: solve by hand or by using DESMOS)

(-1, 0), (-4, 0), (4, 0), (0, 3)

•  $y\ =\ -4x^3+x^2-6x+1$  

•  $y\ =\ .19x^3+.19x^2-3x+3$  

•  $y\ =\ -.19x^3-.19x^2+3x+3$  

•  $y\ =\ -.19x^3-.19x^2+3x-4$  

What type of function is represented by the following table?

(hint: it may be easier to re-write your data points horizontally)

• Cubic

• Quadratic

• Exponential

• Linear

What is the equation for the following function rule represented by the table?

• f(x) = 5x
• f(x) = 5^x
• f(x) = 5x³-15x²+15x
• f(x) = 2x²-5

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6