amelia is documenting the height of sunflower plants each week. she has determined the function to be f(x) = 3x 3, 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? domain, nonnegative values; range, values greater than or equal to 3 domain, nonnegative values; range, values greater than −1 domain, nonnegative values; range, values less than −1 domain, nonnegative values; range, values less than or equal to 3
Answer:
The correct option is 1.
Step-by-step explanation:
The given function is
\(f(x)=3x+3\)
where, x represents time and f(x) represents the height of the plant.
Domain is the set of input values x and range is the set of output values y.
Domain is non negative values because the value of time can not be negative.
Minimum value of x could be 0. Substitute x=0 in the given function.
\(f(0)=3(0)+3=0+3=3\)
The minimum value of f(x) is 3 at x=0. The value of function increases as x increases. So, range are the values greater than or equal to 3.
Therefore the correct option is 1.