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Mathematics
Mathematics
Problem
Which of the following functions is continuous at every real number? a)
k
(
x
)
=
x
k(x)=\sqrt{x}
k
(
x
)
=
x
b)
f
(
x
)
=
3
x
4
−
2
x
+
7
f(x)=3x^{4}-2x+7
f
(
x
)
=
3
x
4
−
2
x
+
7
c)
p
(
x
)
=
x
2
−
4
x
−
2
p(x)=\dfrac{x^{2}-4}{x-2}
p
(
x
)
=
x
−
2
x
2
−
4
d)
h
(
x
)
=
{
1
,
x
<
0
2
,
x
≥
0
h(x)=\begin{cases}1,& x<0\\2,& x\ge 0\end{cases}
h
(
x
)
=
{
1
,
2
,
x
<
0
x
≥
0
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