To find the range of the function f(x) = 2x + 5 for the specific domain values of 2, 4, and 7, we will first calculate the output values by substituting each of the domain values into the function.
- For x = 2:
f(2) = 2(2) + 5 = 4 + 5 = 9 - For x = 4:
f(4) = 2(4) + 5 = 8 + 5 = 13 - For x = 7:
f(7) = 2(7) + 5 = 14 + 5 = 19
Now that we have calculated the corresponding outputs:
- f(2) = 9
- f(4) = 13
- f(7) = 19
The range of the function when the domain is {2, 4, 7} is the set of output values we obtained, which is {9, 13, 19}.
Thus, the range of the function f(x) = 2x + 5 for the given domain is {9, 13, 19}.