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Question

A function is given by the equation: y=2.5x+15
If its domain is [6, 26], then the range of the function will be

A
[15, 65]
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B
[15, 80]
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C
[30, 80]
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D
[30, 65]
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Solution

The correct option is C [30, 80]
Equation for the function is:y=2.5x+15

The domain of the function is given as [6, 26]

When domain, x = 6
Range will be: y = 2.5×6+15=30

When domain, x = 26
Range will be: y = 2.5×26+15=80

So the range, or the set consisting of all the outputs of the given function will be [30, 80]

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