Date post: | 22-Dec-2015 |
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Function rule: an equation that describes a function.
Function notation: when you use f(x) = instead of y =.
A function may be evaluated at different values of x by substituting the x-values into the function. For example, to evaluate the function defined by f (x)=2x at x=5;
The names of functions are given by either lowercase or uppercase letters.
3121 f
51 f 30 f
3020 f
33 f
3323 f
421 f
32 21
21 f
100 21 g
10 g 02 g
122 21 g
14 g
144 21 g
22 g
122 21 g
Make a table for ƒ(t) = 0.5t + 1. Use 1, 2, 3, and 4 as
domain values.
t 0.5t + 1 f(t)
1 0.5(1) + 1 1.5
2 0.5(2) + 1 2
3 0.5(3) + 1 2.5
4 0.5(4) + 1 3
Evaluate the function rule ƒ(g) = –2g + 4 to find the
range for the domain {–1, 3, 5}.
The range is {–6, –2, 6}.
ƒ(g) = –2g + 4ƒ(5) = –2(5) + 4ƒ(5) = –6
ƒ(g) = –2g + 4ƒ(–1) = –2(–1) + 4ƒ(–1) = 6
ƒ(g) = –2g + 4ƒ(3) = –2(3) + 4ƒ(3) = –2