Domain and Range of Quadratic Equations

Find the domain of the quadratic 2x²+4x-4.

• All real numbers

• x ≥ -6

• y ≥ -6

• -2.7 ≤ x ≤ 0.7

What is the range of this graph?

• y ≥ -5

• x ≥ -9

• y ≥ -9

• x ≥ 10

What is the domain of this graph?

• All real numbers

• -∞ ≤ y ≤ ∞

• y ≥ -9

• -5 ≤ x ≤ 1

What are the two methods of finding the domain and range of quadratics?

• Factoring and completing the square

• Slip n' Slide and graphing

• Factoring and plugging in the x value 

• Graphing and plugging in the x value 

What is the range of the graph?

• All real numbers

• To infinity and beyond

• y ≥ -1

• x ≥ 0

A child throws a ball. The graph shows the height of the ball in relation to the time. What is an appropriate domain for this graph?

• 4.5 ≤ x ≤ 12.5

• –∞ ≤ x ≤ ∞

• 4.5 ≤ x ≤ 9

• 0 ≤ x ≤ 9

What is the domain of the parabola created by the ball?

• Domain : 0 ≤ d ≤ 280

• Domain : 0 ≤ h ≤ 570

• Domain : 0 ≤ d ≤ 570

• Domain : 0 ≤ h ≤ 280

A child throws a ball. The graph shows the height of the ball in relation to the time. What is an appropriate range for this graph?

• 4.5 ≤ y ≤ 12.5

• –∞ ≤ y ≤ ∞

• 0 ≤ y ≤ 12.5

• 0 ≤ y ≤ 9

What is the domain and the range for the graph?

• Domain : -2 ≤ x ≤ 2
  Range : 0 ≤ y ≤ 4

• Domain : 0 ≤ x ≤ 4
  Range : -2 ≤ y ≤ 2

• Domain : All real #s
  Range : y ≤ 4

• Domain : -2 ≤ x ≤ 2
  Range : y ≤ 4

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4