Question

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

Answer 1

Let

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

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

we know that

$f(x)=2x+1$

This is a linear equation

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

$x\geq0$

Because the time can not be negative

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

$f(x)\geq1$

Because, the minimum value of f(x) is for $x=0$

$f(0)=2*0+1=1$

therefore

the answer is the option

C. Domain, non negative values; range, values greater than $1$

Answer 2

The answer would be C, because time can't be negative and the height of the plant can't go below 1