Algebra 2 Final

What are the solutions to the system of equations graphed below?

• (2, 0)

• (0, 4)

• (-2,0)

• (0, -4)

• No Solution

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions
• 1 solution
• 2 solutions
• 3 solutions

f(x) = x³ + 7

• Vertical translation up

• Vertical translation down

• Horizontal translation left

• Horizontal translation right

• No transformation

Describe the transformations of the graph f(x) = x³ -----> g(x) = (x - 3)³ -2

• Right 3, Down 2

• Left 3, Up 2

• Right 3, Up 2

• Left 3, Down 2

• (-∞, ∞)
• [-2, 2]
• (-2, 2)
• [-5, 5]

What is the range of the function?

• [-1, +∞)
• (-1,1)
• [1.5, +∞)
• (-2, 2)

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and
  x→ ∞, y→⁻∞
• x → ∞, y→ ∞ and
  x→⁻∞, y→∞
• None of these
• x →∞,y→⁻∞ and
  x→∞, y→⁻∞

Factor this trinomial: 2x² + 11x + 12

• (x + 3)(2x + 4)

• (2x + 2)(x + 6)

• (x + 2)(2x + 6)

• (2x + 3)(x + 4)

Simplify.

• 3x³

• 3x⁵

• 3x^-3

• 3x^-5

The population of jawas on Tatooine is 12,000, but has been decreasing at a rate of 7% every year. How many jawas will there be in 10 years?

• 6,201

• 8,972

• 5,808

• 1,973