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Date November 2014 Marks available 2 Reference code 14N.1.sl.TZ0.11
Level SL only Paper 1 Time zone TZ0
Command term Write down Question number 11 Adapted from N/A

Question

Consider the functions f(x)=x+1 and g(x)=3x2.

Write down

(i)     the x-intercept of the graph of y= f(x);

(ii)     the y-intercept of the graph of y= g(x).

[2]
a.

Solve f(x)=g(x).

[2]
b.

Write down the interval for the values of x for which f(x)>g(x).

[2]
c.

Markscheme

(i)     (1, 0)     (A1)

Note: Accept 1.

 

(ii)     (0, 1)     (A1)     (C2)

Note: Accept 1.

a.

(x=) 2.96 (2.96135)     (A1)

(x=) 1.34 (1.33508)     (A1)     (C2)

b.

2.96<x<1.34OR]2.96, 1.34[OR(2.96, 1.34)     (A1)(ft)(A1)     (C2)

Notes: Award (A1)(ft) for both correct endpoints of the interval, (A1) for correct strict inequalities (or correct open interval notation).

Follow through from part (b).

c.

Examiners report

[N/A]
a.
[N/A]
b.
[N/A]
c.

Syllabus sections

Topic 6 - Mathematical models » 6.1 » Function notation, eg f(x), v(t), C(n) .
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