3.1 Reciprocal of a Linear Function.notebook
2014 10 08
October 08, 2014
3.1 Reciprocal of a Linear Function
1. Sketch f(x)=x
2. Locate the zeros on f(x)=x. Since x=0 then the reciprocal of f(x) is undefined at that value for x. Hence a vertical asymptote exists at x=0. At that value for x, the function does not exist. Draw a vertical dotted line through x=0
3. On the f(x)=x, mark a point where y = 1 or ‐1. Their reciprocals should not change those values. 4. Analyse the function f(x) and determine the reciprocals at a variety of heights to determine the behaviour of the reciprocal function. 5. Draw a smooth curve representing the reciprocal function.
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3.1 Reciprocal of a Linear Function.notebook
October 08, 2014
4
3
2
1
‐4
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‐1
1
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3.1 Reciprocal of a Linear Function.notebook
f(x)=x+3
October 08, 2014
g(x) = 1
1
=
f(x)
x+3
4
3
2
1
‐4
‐3
‐2
‐1
1
2
3
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‐1
‐2
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3.1 Reciprocal of a Linear Function.notebook
October 08, 2014
Check your Understanding
Assigned Work:
pp. 154­155 # 3,5,6,7 ac, 8, 10, 13 4
3.1 Reciprocal of a Linear Function.notebook
October 08, 2014
Characteristics of Reciprocal Linear Functions
p.152
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