Question

The function g is defined as follows for the domain given g(x)=2-2x, domain {-1,0,1,2} write the Range of g

Answer 1

Answer:

The range is {4,2,0,-2}

Step-by-step explanation:

The domain of the function is given as {-1,0,1,2}.

The function is defined as

$g(x) = 2 - 2x$

The range of a function is the set of all values of y that corresponds to an element in the domain.

We substitute each element from the domain to obtain, the corresponding element in the range;

$g( - 1) = 2 - 2( - 1) \\ g( - 1) = 2 + 2 = 4$

When x=0,

$g(0) = 2 - 2(0) = 2$

When x=1,

$g(1) = 2 - 2(1) = 0$

When x=2,

$g(2) = 2 - 2(2) = 2 - 4 = - 2$

Therefore the range is {4,2,0,-2}