Algebra 2 Exam

Perform the indicated operation.

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In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

• -∞
  -∞

• +∞
  -∞

• -∞
  +∞

• +∞
  +∞

What is the range of this function?

• x > -2

• f(x) > -2

• f(x) ≥ -2

• f(x) > 2

Find the Domain.

• All Real numbers

• 0 < y < 11

• y ≥ 0

• y > 0

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

What interval of the graph is shaded?

• Decreasing Interval

• Increasing Interval

• Constant Interval

• Positive Interval

• Negative Interval

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

Express the following in Interval Notation
-9 < x < -8.5

• [-9, -8.5]

• [-9, -8.5)

• (-9, -8.5]

• (-9, -8.5)

Write the following solution in set builder notation:

y > 10

• { y > 10 }

• { y | y > 10 }

• { y | y < 10 }

• ( -0, 10 )