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Math  /  Algebra

QuestionId the range and the domain of the function shown.
Write your answers as inequalities, using xx or yy as appropriate. Or, you may instead click on "Empty set" or "All reals" as the answer. (a) range: □\square (b) domain: □\square Empty All set reals Explanation Check

Studdy Solution

STEP 1

1. The function is linear and represented by a line segment.
2. The line segment starts at the point (0,225)(0, 225) and ends at the point (45,0)(45, 0).
3. The x-axis represents time in minutes, and the y-axis represents the amount of water in liters.

STEP 2

1. Determine the domain of the function.
2. Determine the range of the function.

STEP 3

The domain of a function is the set of all possible input values (x-values) for which the function is defined.
The line segment starts at x=0 x = 0 and ends at x=45 x = 45 .
Thus, the domain of the function is: 0≤x≤45 0 \leq x \leq 45

STEP 4

The range of a function is the set of all possible output values (y-values) that the function can produce.
The line segment starts at y=225 y = 225 and ends at y=0 y = 0 .
Thus, the range of the function is: 0≤y≤225 0 \leq y \leq 225
The domain and range of the function are:
(a) range: 0≤y≤225 0 \leq y \leq 225
(b) domain: 0≤x≤45 0 \leq x \leq 45

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