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

The answer is C because spending no time on video games gets you at least 9 for a range, and spending as much time as she wants to means the number will increase meaning "greater than"

Answer Link

calculista calculista · Answer 2 · 2018-09-05T02:23:36+02:00

calculista calculista

05-09-2018

Let

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

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

we know that

[tex] f(x)=6x+9 [/tex]

this is the equation of a line

The slope m is equal to [tex] m=6\ \frac{level\ won}{hours}[/tex]

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

Answer Link