| Date | May 2014 | Marks available | 1 | Reference code | 14M.1.sl.TZ2.13 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Label | Question number | 13 | Adapted from | N/A |
Question
Consider the graph of the function f(x)=x3+2x2−5f(x)=x3+2x2−5.
Label the local maximum as AA on the graph.
[1]
a.
Label the local minimum as B on the graph.
[1]
b.
Write down the interval where f′(x)<0.
[1]
c.
Draw the tangent to the curve at x=1 on the graph.
[1]
d.
Write down the equation of the tangent at x=1.
[2]
e.
Markscheme
correct label on graph (A1) (C1)
[1 mark]
a.
correct label on graph (A1) (C1)
[1 mark]
b.
−1.33<x<0 (−43<x<0) (A1) (C1)
[1 mark]
c.
tangent drawn at x=1 on graph (A1) (C1)
[1 mark]
d.
y=7x−9 (A1)(A1) (C2)
Notes: Award (A1) for 7, (A1) for −9.
If answer not given as an equation award at most (A1)(A0).
[2 marks]
e.
Examiners report
[N/A]
a.
[N/A]
b.
[N/A]
c.
[N/A]
d.
[N/A]
e.
