Algebra 2 Semester 1 Review #1

Write the solution to the system.

When writing the range for a function, scan your pencil from:

• top to bottom.

• left to right.

• bottom to top.

• here to there.

Write the domain for the graph in interval notation.

• [-2,4]

• -2≤x≤4

• [-4,6]

• -4≤x≤6

If solving the system by elimination, what would you multiply the second equation by to eliminate y?

• 6

• -6

• 2

• -2

 $y=-\left|x+4\right|+7$ 

What is the vertex of the absolute value function?

• (-4,7)

• (4,7)
  

• (4,-7)

• (-4,-7)

A system consists of the equations y = 4x - 20 and y = -x - 5. What is the solution?

• (3,-8)

• (-5,8)

• (0,-2)

• (-2,-28)

• None of the above

Select each TRUE evaluation for the piecewise function.

• f(-5) = -4

• f(4) = 2

• f(2) = 0

• f(0) = -2

• f(5) = -14

What is the range of the function?

• -3<x≤1

• -3<y<2

• -4≤y≤3

• -3≤y≤2

 $f\left(x\right)=-\frac{1}{2}\left|x-1\right|-3$ 

Select each TRUE statement.

• Vertex @ (-1,-3)
  

• Vertical shrink by 1/2
  

• Graph opens down
  

• Horizontal translation down 3
  

• Vertex located below x-axis
  

Find the solutions to the non-linear system.

• (4,2)

• (-1,1)

• (2,4)

• (-2,0)