Find the range of f(x)=-x-6 for the domain {1,3,7,9}. State the range in the proper form.
A){-7,-9,-13,-15}
B){-15,-13,-9,-7
C){-5,-9,-13,-15}
D){-15,-13,-9,-5}
umhhh, did you try replacing x with the given numbers?
e.g. when x = 1, we get f(1)=-1-6 = -7
mmmhhh, how many of your choices start with -7 ?
To find the range of a function, you need to substitute each value from the given domain into the function and determine the resulting output values. In this case, we have the function f(x) = -x - 6 and the domain {1, 3, 7, 9}.
Substitute the values from the domain into the function:
For x = 1: f(1) = -(1) - 6 = -7
For x = 3: f(3) = -(3) - 6 = -9
For x = 7: f(7) = -(7) - 6 = -13
For x = 9: f(9) = -(9) - 6 = -15
The resulting output values are -7, -9, -13, and -15.
Therefore, the range of the function f(x) = -x - 6 for the given domain is:
{-7, -9, -13, -15}
The correct option is A) {-7, -9, -13, -15}.