Graphing from Equations

In which region of its domain is the function increasing?

What is the range of the graph?

• To infinity and beyond

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• both 

• neither

What is the vertex of this equation?
y = (x + 3)² -7

• (3, 7)

• (-3, -7)

• (-3, 7)

• (3, -7)

Where is the function decreasing?

• (-∞, -1)

• (-1, ∞)

• (-∞, 3)

• (-∞, ∞)

Determine the interval in which this function is DECREASING.

• (-3, ∞)

• (-3, ∞)

• (-∞, -4)

• (-∞, -3)

Where is this graph increasing or decreasing?

What are the domain and range for the function f(x) = (x+2)²-1?

• Domain: (−∞, ∞)

  Range: [−2, ∞)

• Domain: (−∞, ∞)

  Range: [−1, ∞)

• Domain: [−1, ∞)

  Range: (−∞, ∞)

• Domain: [−2, ∞)

  Range: (−∞, ∞)

What are the increasing and decreasing intervals for the function f(x) = (x+2)²-1?

• Increasing: (−∞, −2)

  Decreasing: (−2, ∞)

• Increasing: (−2, ∞)

  Decreasing: (−∞, -2)

• Increasing: (−1, ∞)

  Decreasing: (−∞, -1)

• Increasing: (−∞, −1)

  Decreasing: (−1, ∞)