Is y=5x+1/2 a linear function?
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f
(
x
)
is linear if
f
(
a
+
b
)
=
f
(
a
)
+
f
(
b
)
and
f
(
λ
x
)
=
λ
f
(
x
)
f
(
x
)
=
5
x
+
1
2
f
(
λ
x
)
=
5
λ
x
+
1
2
λ
f
(
x
)
=
5
λ
x
+
λ
2
1
2
=
λ
2
⇒
λ
=
1
and not for all lambda's.
hope it help
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(
x
)
is linear if
f
(
a
+
b
)
=
f
(
a
)
+
f
(
b
)
and
f
(
λ
x
)
=
λ
f
(
x
)
f
(
x
)
=
5
x
+
1
2
f
(
λ
x
)
=
5
λ
x
+
1
2
λ
f
(
x
)
=
5
λ
x
+
λ
2
1
2
=
λ
2
⇒
λ
=
1
and not for all lambda's.
hope it help
mark as brainliest
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