To find the range of the function f(x) = x² + 5 for the specified domain values of 2, 4, and 7, we will calculate the output of the function for each of these x-values.
1. For x = 2:
f(2) = 2² + 5 = 4 + 5 = 9
2. For x = 4:
f(4) = 4² + 5 = 16 + 5 = 21
3. For x = 7:
f(7) = 7² + 5 = 49 + 5 = 54
Now, we can put all these results together. The outputs we calculated are: 9, 21, and 54. Therefore, the range of the function when the domain is {2, 4, 7} is {9, 21, 54}.