[4.1-4.3] Nonlinear Functions and Equations Review

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

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• -2 and-4

Tags

CCSS.HSA.APR.B.2

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

Tags

CCSS.HSA.APR.D.6

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Tags

CCSS.HSA.APR.B.2

Find all real solutions of the polynomial equation x³ - x² - 7x + 3 = 0

• x = 3, ± √2
• x = -3, -1 ± √2
• x = -1 ± √2
• x = 3, 1 ± √2

Find all real solutions of the polynomial equation x³ - 3x² - 2x + 4 = 0

• x = -1, 1 ± √5
• x = 1, 1 + √5
• x = 2, 1 ± √5
• x = 1, 1 ± √5

Find all real solutions of the polynomial equation x³ - 3x² - x + 6 = 0

• x = 2, ½ ± √3/2
• x = -2, ½ ± √13/2
• x = 1, ½ ± √13/2
• x = 2 ½ ± √13/2

Find all real solutions of the polynomial equation x³-3x²+2=0

• x = 1, - 1 ± √3
• x= -1, 1 ± √3
• x= 1 ± √3, -1
• x=1, 1 ± √3

Tags

CCSS.HSA-REI.B.4B

List all the possible rational zeros 
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12
• 1,2,6,12
• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

Tags

CCSS.HSA.APR.B.2

Find all of the rational zeros of each function. 
f(x) = x³-6x²+4x-24

• 6
• 1, 2, 3, 4, 6, 8, 12, -1, -2, -3,-4,-6,-8,-12
• -1,-2,6

Tags

CCSS.HSA.APR.B.2