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Mathematics
Mathematics
Problem
A discontinuous step function
h
(
x
)
h(x)
h
(
x
)
has a 'jump' at
x
=
5
x = 5
x
=
5
. Specifically,
lim
x
→
5
−
h
(
x
)
=
2
\lim_{x \to 5^{-}} h(x) = 2
lim
x
→
5
−
h
(
x
)
=
2
, and
lim
x
→
5
+
h
(
x
)
=
4
\lim_{x \to 5^{+}} h(x) = 4
lim
x
→
5
+
h
(
x
)
=
4
. If
m
(
x
)
=
h
(
0.25
x
)
m(x) = h(0.25x)
m
(
x
)
=
h
(
0.25
x
)
, determine the
x
x
x
-coordinate where the jump discontinuity occurs in the graph of
m
(
x
)
m(x)
m
(
x
)
.
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