Let
f
(
x
)
=
{
7
x
−
1
if
x
≤
5
−
8
x
+
b
if
x
>
5
\displaystyle {f{{\left({x}\right)}}}={\left\lbrace\begin{array}{ccc} {7}{x}-{1}&\text{if}&{x}\leq{5}\\-{8}{x}+{b}&\text{if}&{x}>{5}\end{array}\right.}
f
(
x
)
=
{
7
x
−
1
−
8
x
+
b
if
if
x
≤
5
x
>
5
If
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
is a function which is continuous everywhere, then we must have
b
=
\displaystyle {b}=
b
=
Preview
Question 6
Now for fun, try to graph
f
(
x
)
\displaystyle {f{{\left({x}\right)}}}
f
(
x
)
.
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\displaystyle