To find the range of the function f(x) = 4x + 1 for the given domain { -5, -1, 0, 2, 10 }, we need to calculate the function’s output for each value in the domain.
- For x = -5:
f(-5) = 4(-5) + 1 = -20 + 1 = -19 - For x = -1:
f(-1) = 4(-1) + 1 = -4 + 1 = -3 - For x = 0:
f(0) = 4(0) + 1 = 0 + 1 = 1 - For x = 2:
f(2) = 4(2) + 1 = 8 + 1 = 9 - For x = 10:
f(10) = 4(10) + 1 = 40 + 1 = 41
Now, we can compile the results of these calculations:
- f(-5) = -19
- f(-1) = -3
- f(0) = 1
- f(2) = 9
- f(10) = 41
Thus, the range of the function for the given inputs is the set of output values: { -19, -3, 1, 9, 41 }.
In conclusion, the range of the function f(x) = 4x + 1 for the specified domain is { -19, -3, 1, 9, 41 }.