Algebra II Final Review

Describe the end behavior of the graph.

• x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

• x → -∞, f(x) → ∞ and x→∞, f(x) →∞

• x → -∞, f(x) → ∞ and x→∞, f(x) → 0

• x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

What are the asymptotes?

• x=-2 and y=-1

• x=-2 and y=1

• x=2 and y=1

• x=2 and y = -1

Tags

CCSS.HSF-IF.C.7D

• 5x^5/4
• 5x^-5/4
• (5x)^-5/4
• (5x)^-4/5

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF.LE.B.5

x² - 225

• ( x + 15) ( x + 15)

• Unfactorable

• ( x - 15) ( x + 15)

• ( x - 15) ( x - 15)

Tags

CCSS.HSA.APR.C.4

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)

Tags

CCSS.HSA.APR.C.4

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

Use the graph of y=|x| to find the formula of the graph.

• f(x) = |x| + 1

• f(x) = |x + 1|

• f(x) = |x - 1|

• f(x) = |x| - 1

A line goes through the point (2,5) and has a slope of 3. Choose the slope-intercept equation of the line.

• y= 3x - 11

• 3x - y = 1

• y= 3x - 1

• y= 3x - 13