8/6/2019 Functions and Relations Revsion for CXC

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FORM 5

Mathematics Assignment - 2

Functions and relations

Due: 11th

March 2011 (11:50 a.m.)

Late submissions will result in a penalty of 10% per day

1. A relation is defined such that for the domain set .Determine the range set, , for the relation.

2. What is a function?3. Given that

(a) Evaluate

(b) State one value of for which

(c) Solve the equation

(d) Solve the equation

4. Given that

(a) State the inverses of.

(b) Find and

(c) Find .

(d) State the domain of

(e) Solve the equation

(f) Solve the equation

5. Given that (a) Find the values of for which:

(i)

(ii)

(iii)

(b) By taking values of from in increments of one unit, and from draw a graph of

(c) On the same sketch the graph

, taking values as .

(d) Hence, find, to 1 decimal place, the values of for which: