Piecewise Functions
ACT · Flashcards · Application
ACT · FLASHCARDS
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QUESTION
Identify the sub-function for
x
<
−
1
x < -1
x
<
−
1
in
f
(
x
)
=
{
3
x
+
2
if
x
<
−
1
x
2
+
1
if
x
≥
−
1
f(x) = \begin{cases} 3x + 2 & \text{if } x < -1 \\ x^2 + 1 & \text{if } x \geq -1 \end{cases}
f
(
x
)
=
{
3
x
+
2
x
2
+
1
if
x
<
−
1
if
x
≥
−
1
.
QUESTION
Find
f
(
3
)
f(3)
f
(
3
)
for
f
(
x
)
=
{
x
+
3
if
x
<
3
5
x
−
1
if
x
≥
3
f(x) = \begin{cases} x + 3 & \text{if } x < 3 \\ 5x - 1 & \text{if } x \geq 3 \end{cases}
f
(
x
)
=
{
x
+
3
5
x
−
1
if
x
<
3
if
x
≥
3
.
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
.
Tap to flip before you grade
ANSWER
k
=
2
k=2
k
=
2
. Set left limit
k
=
2
k = 2
k
=
2
to match right value.
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