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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
{
a
x
+
1
,
x
≤
1
,
x
2
,
x
>
1.
f(x)=\begin{cases} ax+1, & x\le1,\\ x^2, & x>1. \end{cases}
f
(
x
)
=
{
a
x
+
1
,
x
2
,
x
≤
1
,
x
>
1.
Determine the value of
a
a
a
that makes
f
f
f
continuous at
x
=
1
x=1
x
=
1
. a)
a
=
1
a=1
a
=
1
b)
a
=
0
a=0
a
=
0
c)
a
=
2
a=2
a
=
2
d)
a
=
−
1
a=-1
a
=
−
1
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