Algebra 2 Semester Exam

g(n)=4n-4
f(n)=n³+4
Find (g+f)(n)

• -2n²-n+9
• -n³-4n
• -3n³-3n-5
• n³+4n

Tags

CCSS.HSF-BF.A.1B

Given h(x) = 2x- 1
and g(x) = 3x + 4, find (4h - 3g)(x).

• -x - 5
• -x -16
• -x + 5
• -x + 16

Tags

CCSS.HSF-BF.A.1B

g(x)=2x+2
f(x)=x-1
Find (g*f)(x)

• -3x³-7x²-2x
• 2x³-2
• 2x²-2
• 2x²+4x+2

Tags

CCSS.HSF-BF.A.1B

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

For what interval is the height of the projectile above 120 feet?

• [1, 6]

• [120, 200]

• [0, 7]

• [3, 4]

Where is the function decreasing?

• (-∞, -1)
• (-1, ∞)
• (-∞, 3)
• (-∞, ∞)

Tags

CCSS.HSF-IF.C.7A

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

Which equation has a vertex of (-3, 4)?

• y = 2(x+3)² + 4
• y = (x+3)² - 4
• y = (x-3)² + 4
• y = 2(x - 3)² + 4

Use the given function or the graph to find the average rate of change

• -1

• 1

• 1/2

• 2

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Solve for x:
2(3x + 4) + 2 = 4 + 3x

• 2
• -2/3
• 10
• -2

Tags

CCSS.8.EE.C.7B