Question

Given the inputs of {-3, 0, 3,6}, name the
Domain and Range of the function:

Answer 1

Answer:

Domain: { - 3 , 0 , 3 , 6 } ; Range: { 1 , 2 , 3 , 4 }

Step-by-step explanation:

f(x) = y = $\frac{x}{3}$ + 2

f( - 3 ) = ( - 3 ) ÷ 3 + 2 = 1

f( 0 ) = ( 0 ) ÷ 3 + 2 = 2

f( 3 ) = ( 3 ) ÷ 3 + 2 = 3

f( 6 ) = ( 6 ) ÷ 3 + 2 = 4

Domain: { - 3 , 0 , 3 , 6 }

Range: { 1 , 2 , 3 , 4 }

Answer 2

Answers:

Domain = -3,0,3,6

Range = 1,2,3,4

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Explanation:

The domain is the set of allowed x inputs of a function. We simply type in the values your teacher gave you, which are: -3, 0, 3, 6 as the domain.

To find the range, we plug each item from the domain separately one at a time into the equation to find the y value.

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If x = -3, then,

y = x/3 + 2

y = -3/3 + 2

y = -1 + 2

y = 1

The domain item of x = -3 pairs up with the value y = 1 in the range.

In short, 1 is in the range.

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If x = 0, then,

y = x/3 + 2

y = 0/3 + 2

y = 0 + 2

y = 2

The value 2 is also in the range.

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If x = 3, then,

y = x/3 + 2

y = 3/3 + 2

y = 1 + 2

y = 3

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If x = 6, then,

y = x/3 + 2

y = 6/3 + 2

y = 2 + 2

y = 4

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The y values we got at the end of each section were: 1,2,3,4

This consists of the range that corresponds to the given domain.