Domain and Range of Quadratic Functions

Identify the domain and range of the function.

• Domain: -6 ≤ x ≤ 2

  Range: -3 ≤ y ≤ 5

• Domain: All real number

  Range: -3 ≤ y ≤ 5

• Domain: All real numbers

  Range: -∞ < y ≤ 3

• Domain: All real numbers

  Range: 3 ≤ y < ∞

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the domain of the graph?

• -3 ≤ x ≤ 3
• 3 ≤ x ≤ -3
• -2 ≤ x ≤ 10
• -3 ≤ x ≤ 10

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the graph?

• -2 < y < 10
• -3 < x < 3
• -2 ≤ y ≤ 10
• -3≤ x ≤ 3

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

What are the domain and range of the parabola shown?

• Domain: x≥-4
  Range: all real numbers
• Domain: all real numbers
  Range: y <-4
• Domain: all real numbers
  Range: y ≥-4
• Domain: x < -1
  Range: all real numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

John hits a fly ball into the air. The ball reaches a maximum height of 200 ft after 4 seconds. What is a reasonable domain of the fly ball?

• All real numbers between 0 feet and 200 feet
• All real numbers between 0 feet and 400 feet
• All real numbers between 0 seconds and 4 seconds
• All real numbers between 0 seconds and 8 seconds

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
• The ball was kicked from the ground and it was in the air for 4 seconds. 
• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the range of the graph?

• All real numbers
• 0 ≤ x ≤ 4
• 0 ≤ x ≤ 2000
• 0 ≤ y ≤ 2000

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the function?

• {x| x = all real numbers}
• {x| -2 < x < 4}
• {x| -2 ≤ x ≤ 4}
• {x| -6 ≤ x ≤ 3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the range of this functions?

• {y| -6 ≤ y ≤ 3}
• {y| -6 < y < 3}
• {y|y = all real numbers}
• {y| -2 ≤ y ≤ 4}

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box.

What is the domain of the function for this situation?

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5