1st 9 weeks test Algebra 2 Review

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1
• 5x⁴ + 6x² - 1
• 5x² + 6x - 1
• 5x² + 8x - 1

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSF-BF.A.1B

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

What is the range of the function?

• (∞, 0]

• [0,∞)

• (0,∞)

• (-∞,∞)

What is the domain of the parent function?

• all real numbers

• [ 0, ∞)

• (0, ∞)

• [ 0, ∞]

What is the range of the graph?

• [ 2, ∞]

• (- ∞, ∞)

• [ 1, ∞)

• [ 2, 1]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the inverse of the points
(1,3), (2,4), (6,8)

• (3,1), (4,2) and (8,6)
• (-3,-1), (-4,-2) and (-8,-6)
• (1,2), (3,4) and (6,8)
• (-1,-3), (-2,-4) and (-6,-8)

Tags

CCSS.HSF-BF.B.4C

What does it mean to find the inverse of a function graphically?

• The domain becomes the range.

• The range becomes the domain.

• All the statements are true.

• Switch the domain and range.

Use the given function to find the RANGE of its inverse function. 

• [-6, 6]
• [3, 8]

A piggy bank contains 30 coins consisting of nickles, quarters and dimes. The total value of the coins is $14.55. The difference between the amount of dimes and quarters is 6. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

• 25q + 10d + 5n = 14.55

  n - d = 6

  q + d + n = 30

• 0.10q +0.25d .5n = 30

  q + d + n= 14.55

  d + n =6

• 0.25q + 0.10d +.05n = 14.55

  q + d + n =30

  d - n = 6

• 0.25q + 0.10d + .5n = 14.55

  q + d + n = 30

  d - q = 6