organisations

Lecture 1
Topic Functions (Singh, Chapter 3)

Section A1 – p134

Input Function Output
30o sin 0.5
x sin sin(x)
x f f(x)



jxgfghfjkghf gklhgklhjglkjb lkjfhlajfhajhfdajghfg ;;ha;jkdgha dgLecture 1
Topic Functions (Singh, Chapter 3)

Section A1 – p134

Input Function Output
30o sin 0.5
x sin sin(x)
x f f(x)







Example (Singh, Section A2, Example 1)
A function f is defined by f(x)=x2+1. (We could also say, f is defined by x® x2+1). Evaluate f(x) at x=-3,-2,-1,1,2,3.

Solution
f(-3) = (-3)2+1=9+1=10 f(-2)=(-2)2+1=5 f(-1)=(-1)2+1=2
f(3) = 32+1=10 f(2)=22+1=5 f(1)=12+1=2


One way of thinking about the properties of functions is to draw schematic pictures of the domain and the range and indicate how numbers in the domain are mapped to numbers in the range. For the function of the previous example:

...