Answer:
B. {–1, –3, –7, –9}
Step-by-step explanation:
Explanation:
Substitute each value in the domain for
x
in the function and solve the function. The set of the results is the Range.
f
(
x
)
=
−
2
x
−
5
For:
x
=
−
2
, f
(
x
)
is:
f
(
−
2
)
=
(
−
2
×
−
2
)
−
5
=
4
−
5
=
−
1
For:
x
=
−
1
, f
(
x
)
is:
f
(
−
1
)
=
(
−
2
×
−
1
)
−
5
=
2
−
5
=
−
3
For:
x
=
1
, f
(
x
)
is:
f
(
1
)
=
(
−
2
×
1
)
−
5
=
−
2
−
5
=
−
7
For:
x
=
2
, f
(
x
)
is:
f
(
2
)
=
(
−
2
×
2
)
−
5
=
−
4
−
5
=
−
9
The Range is:
{
−
1
,
−
3
,
−
7
,
−
9
}
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:
.....[1]
Domain: {-2, -1, 1, 2}
For x = -2,
Substitute in [1] we have
Similarly ,
For x = -1
For x = 1:
For x = 2
Therefore, the range of f(x) = {-1, -3, -7, -9}
