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

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calculista calculista · Answer 1 · 2018-10-04T02:25:37+02:00

Let

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

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

we know that

[tex]f(x)=2x+1[/tex]

This is a linear equation

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

[tex]x\geq0[/tex]

Because the time can not be negative

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

[tex]f(x)\geq1[/tex]

Because, the minimum value of f(x) is for [tex]x=0[/tex]

[tex]f(0)=2*0+1=1[/tex]

therefore

the answer is the option

C. Domain, non negative values; range, values greater than [tex]1[/tex]