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Find discontinuities of piecewise-defined function
by 
Newcastle University Mathematics and Statistics
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
History
Xiaodan Leng 5 years, 9 months ago
Created this as a copy of Find discontinuities of piecewise-defined function.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Find discontinuities of piecewise-defined function | Ready to use | Newcastle University Mathematics and Statistics | 20/11/2019 14:51 | |
| Find discontinuities of piecewise-defined function | draft | Xiaodan Leng | 10/07/2019 22:51 |
There are 2 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| q1 | integer |
4
|
||||
| a | integer |
-1
|
||||
| c | integer |
3
|
||||
| q2 | integer |
-3
|
||||
| er1 | integer |
2
|
||||
| er2 | integer |
3
|
||||
| er3 | integer |
0
|
||||
| dis1 | integer |
-1
|
||||
| dis2 | integer |
1
|
||||
| p | integer |
-9
|
||||
| lo1 | integer |
-1
|
||||
| u | integer |
0
|
||||
| t | integer |
0
|
||||
| w | integer |
3
|
||||
| v | integer |
1
|
||||
| b | integer |
1
|
Generated value: integer
4
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
| $f(x) = \left \{ \begin{array}{l} \phantom{{.}} \\ \phantom{{.}} \\ \phantom{{.}} \\\phantom{{.}} \\ \phantom{{.}} \\ \phantom{{.}}\end{array} \right .$ | $\var{p},$ | $ x \leq \var{a},$ |
| $\simplify{{q1}*x+{p+er1-q1*a}},$ | $\var{a} \lt x \leq \var{b},$ | |
| $\simplify{{q2}*x^2+{-2*q2*b}*x+{q2*b^2+q1*(b-a)+p+er1+er2}},$ | $\var{b}\lt x \leq \var{c},$ | |
| $\var{q2*(c-b)*(c-b)+q1*(b-a)+p+er1+er2+er3},$ | $x \gt \var{c}.$ |
$f$ is discontinuous at $x=a$ where $a=\;$
$f$ is discontinuous at $x=b$ where $b=\;$
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