We can also use the triangle inequality to us find bounds on functions. the triangle inequality tells us that |f(x) + g(x)| ≤ |f(x)| + |g(x)|. a) use the triangle inequality, together with the fact that |ab| = |a| ⋅ |b| to show that |f(x) − g(x)| ≤ |f(x)| + |g(x)|. b) use the triangle inequality to find a bound for f(x) = x 3 − 7x 2 + 3x − 5 on the interval [−2, 1]. be careful to justify all of your steps.

Lems1. the following data set represents the scores on intelligence quotient(iq) examinations of 40 sixth-grade students at a particular school: 114, 122, 103, 118, 99, 105, 134, 125, 117, 106, 109, 104, 111, 127,133, 111, 117, 103, 120, 98, 100, 130, 141, 119, 128, 106, 109, 115,113, 121, 100, 130, 125, 117, 119, 113, 104, 108, 110, 102(a) present this data set in a frequency histogram.(b) which class interval contains the greatest number of data values? (c) is there a roughly equal number of data in each class interval? (d) does the histogram appear to be approximately symmetric? if so,about which interval is it approximately symmetric?