Identifying Domain & Range

-A student rode a bike from school to a recreation center. The graph shows the student's distance in miles from the recreation center after riding the bike for "x" minutes.

What is the RANGE of the function for this situation?

Hint: RANGE means concentrate on the Y- axis, Y-value

• All real numbers greater than or equal to 0 and less than or equal to 28

• All real numbers greater than or equal to o and less than or equal to 9

• All real numbers less than or equal to 28

• All real numbers less than or equal to 9

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

Which of the answers represent the DOMAIN of " f " ?

Hint: DOMAIN means concentrate on the X-axis, X-values.

• - 3 < x < 2

• All real numbers

• y > 5.5

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

Which of the graphs best represents a function with a RANGE of all real numbers greater than OR equal to - 6?

Hint: RANGE means Y-axis, Y-values

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What is the DOMAIN for the graph below ?

Hint: DOMAIN means X-axis, X-values

• - 1 < x < 3

• - 1 < y < 3

• 5.3 < x < 27

• 5.3 < y < 27

The population of Center City is modeled by exponential function f, where "X" is the number of years after 2011. The graph of f is shown on the grid.

Which inequality best represents the RANGE of this situation ?

Hint: RANGE means the Y-axis, Y-value

• x > 0

• y > 250,000

• 0 < x < 110

• 250,000 < y < 1,000,000

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?

• The range is the set of all real numbers less than o

• The domain is the set of all real numbers greater than - 4

• The range is the set of all real numbers greater than 0

• The domain is the set of all real numbers less than - 4

Which graph represents a function with a DOMAIN of all real numbers greater than or equal to - 7 and less than 2 ?

Hint: DOMAIN means X-axis, X-values

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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 this situation?

Hint: RANGE means OUTPUT, his total earnings for an 8 hour day

• 0 < x < 8

• 80 < y < 440

• 0 < x < 10

• 45 < y < 685

A set of weights include a 4 lb. BARBELL and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates were added to the BARBELL, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.

What is the RANGE for this situation?

Hint: RANGE means OUTPUT. What is the total weight every time you add another pair of plates to the barbell. Start with just the Barbell.

• {0, 1, 2, 3, 4, 5, 6}

• {4, 24, 44, 64, 84, 104, 124}

• {0, 2, 4, 6}

• {4, 44, 84, 124}

Which inequality best represents the domain of the graph shown?

• - 9 < x < 2

• - 9 < x < 2

• - 6 < g(x) < 3

• - 6 < g(x) < 3