Domain, Range, & Ordering Quadratic Functions

What is the domain of the graph?

• All real numbers
• To infinity and beyond
• y ≥ -1
• x ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• All real numbers
• To infinity and beyond
• y ≥ -1
• x ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

The function f(x) = -5x² is Wider or Narrower than f(x)= 2x²

• Wider

• Narrower

Order the functions from Narrowest to Widest.

f (x) = − x²

g(x) = −2x²

h(x) = 3x²

• f (x) = − x² ,g(x) = −2x² , h(x) = 3x²

• h(x) = 3x² , f (x) = − x² , g(x) = −2x²

• h(x) = 3x² , g(x) = −2x² , f (x) = − x²

Put in order from widest narrowest?

y = 6x² + 4 ; y = x²; y = -0.5x²; y = 0.1x² + 3; y = -9x²

• y = 0.1x² + 3; y = -0.5x²; y = x²; y = 6x² + 4; y = -9x²;

• y = -9x²; y = -0.5x²; y = 0.1x² + 3; y = x²; y = 6x² + 4

• y = 0.1x² + 3; y = -0.5x²; y = x²; y = -9x²; y = 6x² + 4

Order the quadratic functions from widest to narrowest graph.

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Order each group of quadratic functions from narrowest to widest graph.

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The function f(x) = 3x² is Wider or Narrower than f(x)= 7x²

• Wider

• Narrower