SDMAT04 - FET Subject Didactics Mathematics Education (SDMAT04)
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SDMAT04
Jan/Feb 2021
UNIVERSITY EXAMINATIONS
January / February 2021
SDMAT04
100 Marks
Duration: .2 Hours
This paper consists of (6) pages.
Answer all the Questions
Instructions:
• Read the questions carefully.
• Open book examination – Study material permissible
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script.
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Open Rubric
, SDMAT04
Jan/Feb 2021
Question 1
1.1
The graph of a cubic function f is sketched below.
The equation of the curve is given as 𝑓(𝑥) = −𝑥3 + 𝑏𝑥2 + 𝑐𝑥 −where 𝑏 𝑎𝑛𝑑 𝑐 are
1
constants. If 𝑓(1) = 4, and 𝑓 // ( = 1
2
1.1.1 Find the values of a 𝑎𝑛𝑑 𝑏.
the value of a =-1
to fimd the value of b and c first subtitude f(1)=4 in to original equation
4= -(1)3 +b(1)2 +c(1)
4=-1+b+c………….equation 1
Then find second derivatives meaning
f //(x) =-6x+2b+0 ………..equation 2
Solve for b from equation 2 by substituting f’’(1/2)=1
1=-6(1/2)+2b
1=-3+2b
4=2b
b=2
from equation 1 substitute value of b=2
4=-1+2+c
C=3
(3)
2
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