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 of 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

Let

x--------> represent the time

f(x)-------> represent the height of pea plants

we know that

This is a linear equation

The domain is the interval-------> [0,∞)

Because the time can not be negative

The range is the interval---------> [1,∞)

Because, the minimum value of f(x) is for

therefore

the answer is the option

C. Domain, non negative values; range, values greater than

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