Piecewise Functions
ACT Math · Flashcards
ACT MATH · FLASHCARDS
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QUESTION
Find
k
k
k
so
f
f
f
is continuous at
x
=
0
x=0
x
=
0
:
f
(
x
)
=
{
k
−
x
,
x
<
0
x
+
2
,
x
≥
0
f(x)=\begin{cases}k-x,&x<0\\x+2,&x\ge^0\end{cases}
f
(
x
)
=
{
k
−
x
,
x
+
2
,
x
<
0
x
≥
0
.
QUESTION
What is the correct way to solve
f
(
x
)
=
k
f(x)=k
f
(
x
)
=
k
for a piecewise function?
QUESTION
What does each sub-function in a piecewise function have?
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ANSWER
Its own domain, specified by an interval or condition. Each piece is restricted to specific input values.
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