find the range of f(x)=-2x-5 for domain -2, -1, 1, 2
Range = {-2(-2) - 5, -2(-1) - 5, -2(1) - 5, -2(2) - 5} = {4 - 5, 2 - 5, -2 - 5, -4 - 5} = (-1, -3, -7, -9}
Answer:
{-1, -3, -7, -9} is the range of the function f(x)
Step-by-step explanation:
Domain is the set of all complete possible values of x variable.
Range is the set of all values of f(x)
Given the function:
\(f(x) = -2x-5\) .....[1]
Domain: {-2, -1, 1, 2}
For x = -2,
Substitute in [1] we have
\(f(-2) = -2(-2)-5 = 4-5 = -1\)
Similarly ,
For x = -1
\(f(-1) = -2(-1)-5 = 2-5 = -3\)
For x = 1:
\(f(1) = -2(1)-5 = -2-5 = -7\)
For x = 2
\(f(2) = -2(2)-5 = -4-5 = -9\)
Therefore, the range of f(x) = {-1, -3, -7, -9}