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A taxi fare in pounds is f(x) = 4x + 2 for a ride of x… | StemPy Lab
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A taxi fare in pounds is f(x) = 4x + 2 for a ride of x km with x < 3, and f(x) = 5x + k for x ≥ 3. For which k does the fare have no sudden jump at x = 3?
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Functions and Calculus › Continuity and Differentiability
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StemPy Lab
A taxi fare in pounds is
f
(
x
)
=
4
x
+
2
f(x) = 4x + 2
f
(
x
)
=
4
x
+
2
for a ride of
x
x
x
km with
x
<
3
x < 3
x
<
3
, and
f
(
x
)
=
5
x
+
k
f(x) = 5x + k
f
(
x
)
=
5
x
+
k
for
x
≥
3
x \ge 3
x
≥
3
. For which
k
k
k
does the fare have no sudden jump at
x
=
3
x = 3
x
=
3
?
14
14
14
1
1
1
−
1
-1
−
1
−
3
-3
−
3
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