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Math  /  Geometry

Questionind the domain and the range of the function shown.
Length of the road (kilometers)
Vrite your answers as inequalities, using xx or yy as appro r, you may instead click on "Empty set" or "All reals" a (a) domain: □\square (b) range: □\square << □\square □\square >> □\square □\square ≤□\leq \square □\square □\square ≥□\geq \square □\square □\square □\square □\square □\square □\square
Empty All
set reals

Studdy Solution

STEP 1

1. The function is represented by a line segment on a graph.
2. The x-axis represents "Time (days)".
3. The y-axis represents "Length of the road (kilometers)".
4. The line segment starts at the point (20,90)(20, 90) and ends at the point (40,210)(40, 210).

STEP 2

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

STEP 3

Determine the domain of the function:
- The domain is the set of all possible x-values (Time in days) for which the function is defined. - Since the line segment starts at x=20x = 20 and ends at x=40x = 40, the domain is the interval from 20 to 40.
Write the domain as an inequality:
20≤x≤40 20 \leq x \leq 40

STEP 4

Determine the range of the function:
- The range is the set of all possible y-values (Length of the road in kilometers) for which the function is defined. - Since the line segment starts at y=90y = 90 and ends at y=210y = 210, the range is the interval from 90 to 210.
Write the range as an inequality:
90≤y≤210 90 \leq y \leq 210
The domain of the function is:
20≤x≤40 \boxed{20 \leq x \leq 40}
The range of the function is:
90≤y≤210 \boxed{90 \leq y \leq 210}

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