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)=3x−2.
Write down
(i) the x-intercept of the graph of y= f(x);
(ii) the y-intercept of the graph of y= g(x).
Solve f(x)=g(x).
Write down the interval for the values of x for which f(x)>g(x).
Markscheme
(i) (−1, 0) (A1)
Note: Accept −1.
(ii) (0, −1) (A1) (C2)
Note: Accept −1.
(x=) −2.96 (−2.96135…) (A1)
(x=) 1.34 (1.33508…) (A1) (C2)
−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).