Algebra 1 Domain and Range Review

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

• Domain: All real numbers greater than or equal to 0 and less than or equal to 100

  Range: All real numbers greater than or equal to 0 and less than or equal to 50

• Domain: {−2}

  Range: {100}

• Domain: All real numbers greater than or equal to 0 and less than or equal to 50

  Range: All real numbers greater than or equal to 0 and less than or equal to 100

• Domain: {100}

  Range: {−2}

What are the domain and range of g (x) = −1/4 (x − 17)² + 61

• Domain: All real numbers

  Range: g (x ) ≤ 61

• Domain: x ≤ 17

  Range: g (x) ≤ 61

• Domain: All real numbers

  Range: x ≤ 17

• Domain: g (x) ≥ 61

  Range: x ≤ 17

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid.

Which inequality best represents the range of f in this situation?

• x ≥ 0

• y ≥ 250,000

• 0 ≤ x ≤ 110

• 250,000 ≤ y ≤ 1,000,000

Tags

CCSS.HSF-IF.C.7E

The graph of part of linear function g is shown on the grid.

Which inequality best represents the domain of the part shown?

• -9 < x ≤ 2

• -9 ≤ x < 2

• -6 < g (x ) ≤ 3

• -6 ≤ g (x) < 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The graph of quadratic function f is shown on the grid.

Which of these best represents the domain of f?

• −3 ≤ x ≤ 2

• All real numbers

• y ≥ 5.5

• All real numbers less than −3 or greater than 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

• 0 ≤ x ≤ 8

• 80 ≤ y ≤ 440

• 0 ≤ x ≤ 10

• 45 ≤ y ≤ 685

A part of an exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

• x ≥ −2

• y ≥ 4.5

• x ≥ 4.5

• y ≥ −2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain and range?

• Domain: All real numbers
  
  Range: All real numbers

Which of these sets is the RANGE of the graph?

• {0, 6, 12, 18}

• {-2, 0, 2, 4}

• {-2, 2, 4}

• {6, 12, 18}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of this graph?

• {-2 ≤ x ≤ 4}

• {-5 ≤ x ≤ 4}

• {-4, 0, -2}

• {-4 ≤ x ≤ 2}

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5