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. If R1 = y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5 is a relation. Then find the domain and range of R1.

User Dennis VW
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Answer:

Domain is [-5, 5]

Range is [-3, 17]

Explanation:

R1 = y = 2x + 7, where x∈ R and -5 ≤ x ≤ 5

The domain is given by the all possible input values of x . Here the function is defined for -5 ≤ x ≤ 5, so the domain is [ - 5, 5].

The range is given by the output values of he function.

When x = - 5

f (- 5) = 2 (-5 ) + 7 = - 3

When x = 5

f (5) = 2 (5) + 7 = 17

So, the range is [ -3 , 17].

User LuisPinto
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