Domain and Range

The mapping above represents all of the points on the graph of function f.

What is the domain of f?

• {5}

• {-7, -2, -1, 4, 6}

• {-3, -2, 1, 3, 8}

• {-7, -3, -2, -1, 1, 3, 4, 6, 8}

A shoe company used packing boxes to ship four orders to retail stores. The number of packing boxes needed to transport the pairs of shoes is a function of the number of pairs ordered for each delivery. This function only consists of the ordered pairs (44, 3), (60, 4), (72, 5), and (88, 6). What is the domain for this situation?

• {44, 60, 72, 88}

• {44, 88}

• {3, 4, 5, 6, 44, 60, 72, 88}

• {3, 4, 5, 6}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Which statement about the linear parent function is true?

• Its domain is the set of all non-negative numbers.

• Its range is the set of all real numbers.

• Its domain is the set of all negative rational numbers.

• Its range is the set of ordered pairs graphed in Quadrants I and IV.

Function f is graphed above. What is the range of f?

• {x | -3 ≤ x < 5}

• {x | -3 < x ≤ 5}

• {y | -5 < y ≤ 3}

• {y | -5 ≤ y < 3}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

The total cost of hiring Paul the plumber is a function of the required number of hours needed to complete the repair. Paul charges $40 per hour up to a maximum of 8 hours, plus $75 service charge. What is the greatest value in the range for this situation?

• 40

• 75

• 320

• 395

Which graph shows a function with a domain of all real numbers less than -4?

• 
• 
• 
• 

What is the domain of the function graphed?

• -10 ≤ x < 2

• -10 < x ≤ 2

• -8 ≤ x < 6.5

• -8 < x ≤ 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the range of the function graphed on the grid?

• {x | x = -5, -3, -1, 1, 3, 5}

• {y | 3 ≤ y ≤ 6}

• {x | -5 ≤ x ≤ 5}

• {y | y = 3, 6}

What is the domain of the function described by the equation y = 4x² - 7?

• x ≥ -7

• x ≤ 7

• x ≥ 4

• all real numbers

What are the domain and range of f(x) = -37?

• Domain: All real numbers greater than or equal to -37.

  Range: All real numbers.

• Domain: {-37}

  Range: All real numbers.

• Domain: All real numbers.

  Range: All real numbers greater than or equal to -37.

• Domain: All real numbers.

  Range: {-37}