What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
To find the range of a function, we need to find the possible output values for the given domain.
For each value in the domain D = {-4, -2, 0, 2}, we can substitute it into the function f(x) = 4x + 9 to find the corresponding output value.
For x = -4:
f(-4) = 4(-4) + 9 = -16 + 9 = -7
For x = -2:
f(-2) = 4(-2) + 9 = -8 + 9 = 1
For x = 0:
f(0) = 4(0) + 9 = 0 + 9 = 9
For x = 2:
f(2) = 4(2) + 9 = 8 + 9 = 17
Therefore, the output values for the given domain are -7, 1, 9, and 17.
Thus, the range of the function f(x) = 4x + 9 is {-7, 1, 9, 17}.