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Mathematics 18 Online
OpenStudy (anonymous):

Can someone PLEASE tell me if I'm right? Gregor is documenting the height of pea plants each week. He has determined the function to be f(x) = 2x + 1, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) correctly? A. Domain, nonnegative values; range, values greater than −0.5 B. Domain, nonnegative values; range, values less than −0.5 C. Domain, nonnegative values; range, values greater than 1 D. Domain, nonnegative values; range, nonnegative values Is it D?

OpenStudy (anonymous):

@johnweldon1993 @jim_thompson5910

OpenStudy (johnweldon1993):

Hint* can the plant ever be smaller than 1? *Knowing that the domain is greater than or equal to 0 that is*

OpenStudy (anonymous):

so I'm right?

OpenStudy (anonymous):

the domain and range are all nonnegative values?

OpenStudy (johnweldon1993):

Not quite Since the domain we know is always greater than or equal to 0 The smallest 'x' we can plug in is 0...and if we do that we get y = 1 So with the SMALLEST domain value, we would have a result of 1 This means we can never have a range *within this domain* than includes a number LESS than 1 So it would look as though C is correct here

OpenStudy (anonymous):

thank you :)

OpenStudy (johnweldon1993):

No problem! :)

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