Question

1. Which of the following represents the domain of the function?2. The graph below shows the number of coffee stores after 1992.Which of the following represents the range of the function?3.The number of people with the flu during an epidemic is a function, f, of the number of days, d, since the epidemic began. The equation f(d) = 50⋅(32)d defines f. What is f(3.5)? Does it make sense in this situation? its not any of the screenshot its a answer doc for this question 4.Given the transformations below, which of the following equations represents the transformations from the parent function f(x)=2x?5. How will the graph of the function f(x)=3x translate when the function is changed tof(x)=3x−26.Find the average rate of change of the function f(x)=3x−2 over the interval [1, 2]

Answer 1

The domain of a function is the set of all inputs for which the function remains valid. Since the graph shows the number of coffee stores after 1992. The domain will only makes sense for positive numbers, since a negative year doesn't make any sense. Therefore, the domain is:

$D\colon x\ge0$