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**Unformatted text preview: **) = x2 − 36 + 1.6 Function Arithmetic
4. (a)
(b)
(c)
(d)
(e)
(f) 2
−3
0
6x + 3h − 1
−2x − h + 2
3x2 + 3xh + h2
2
(g) −
x(x + h) 63
3
(1 − x − h)(1 − x)
−9
(i)
(x − 9)(x + h − 9)
1
(j) √
√
x+h+ x
(k) m (h) (l) 2ax + ah + b 64 1.7 Relations and Functions Graphs of Functions In Section 1.4 we deﬁned a function as a special type of relation; one in which each x-coordinate
was matched with only one y -coordinate. We spent most of our time in that section looking at
functions graphically because they were, after all, just sets of points in the plane. Then in Section
1.5 we described a function as a process and deﬁned the notation necessary to work with functions
algebraically. So now it’s time to look at functions graphically again, only this time we’ll do so with
the notation deﬁned in Section 1.5. We start with what should not be a surprising connection.
The Fundamental Graphing Principle for Functions
The graph of a function f is the set of points whic...

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