Wendy is logging the number of video game levels she wins per hour. she has determined the function to be f(x) = 6x + 9, where x represents hours and f(x) represents the number of video game levels won. which of the following options describes the restrictions to the domain and range correctly?

a) domain, nonnegative values; range, values greater than −1.5
b) domain, nonnegative values; range, values less than −1.5
c) domain, nonnegative values; range, values greater than or equal to 9
d)domain, nonnegative values; range, values less than or equal to 9

Let

x--------> represents hours

f(x)------> represents the number of video game levels won

we know that

this is the equation of a line

The slope m is equal to

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

the range is the interval--------> [9, ∞)

using a graph tool see the attached figure

therefore

the answer is the option

C) Domain, nonnegative values; range, values greater than or equal to 9

step by step solution :

step   1   :

1.1     4 = 22

(4)3 = (22)3 = 26

equation at the end of step   1   :

  ((23) • 26)2

step   2   :

equation at the end of step   2   :

  (23 • 26)2

step   3   :

final result :

  218

ya