Answer:
The range of the function in ascending order is:
Range R = {-2, 0, 2, 4}
Explanation:
Given the function
f(x) = 2-2x
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
- Domain refers to all the possible sets of input values on the x-axis
As the domain of the function is given such as
Domain D = {-1, 0, 1, 2}
Determining the range
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.
As the domain is
Domain D = {-1, 0, 1, 2}
FOR x = 1
substitute x = -1 in the function
f(x) = 2-2x
f(-1) = 2-2(-1) = 2+2=4
so
at x = -1, y = 4
FOR x = 0
substitute x = 0 in the function
f(x) = 2-2x
f(-1) = 2-2(0) = 2-0=2
so
at x = 0, y = 2
FOR x = 1
substitute x = 1 in the function
f(x) = 2-2x
f(-1) = 2-2(1) = 2-2=0
so
at x = 1, y = 0
FOR x = 2
substitute x = 2 in the function
f(x) = 2-2x
f(-1) = 2-2(2) = 2-4=-2
so
at x = 2, y = -2
Thus combining all the output or y values correspond to the given input values, we get the range of the function.
Thus, the range of the function in ascending order is:
Range R = {-2, 0, 2, 4}