find the range of f(x) = -2x+6 for the domain {-1,3,7,9}

x y

-1 8
+3 0
+7 -8
+9 -12

To find the range of a function, we need to determine the set of all possible output values for the given input values in the domain. In this case, the function is f(x) = -2x + 6, and the domain is {-1, 3, 7, 9}.

To find the range, we will substitute each value from the domain into the function and record the corresponding output. Let's do that for each value in the domain.

For x = -1:
f(-1) = -2(-1) + 6 = 8

For x = 3:
f(3) = -2(3) + 6 = 0

For x = 7:
f(7) = -2(7) + 6 = -8

For x = 9:
f(9) = -2(9) + 6 = -12

Now, we have the corresponding outputs for each input value in the domain. The range is then the set of all possible output values, which in this case is {8, 0, -8, -12}.

Therefore, the range of the function f(x) = -2x + 6, for the given domain {-1, 3, 7, 9}, is {8, 0, -8, -12}.

jjiere

F(x)=-2+6 for the domain {-1,3,7,9}