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`