Math1000 Section2.3

1. Math 1000
Stuart Jones
Section2.3
Information from Graphs of Functions

2. Math 1000
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The function f is given. Find f(-1), f(1), f(0), and f(2).
Then, find the domain and range.

3. Math 1000
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The function g is given. Find g(-1), g(0), g(1), g(2), and g(3).
. Then, find the domain and range. Also,
find the net change from x=0 to x=2.

4. Math 1000
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f (x) =
2 x < 2
x − 1 x ≥ 2
Find f(-2), f(2), and f(3).
Then, find the domain
and range.

5. Math 1000
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Find the intervals over which the function is increasing and the
intervals over which it is decreasing.
Answer:

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Find the intervals over which the function is increasing and the
intervals over which it is decreasing.
Answer: Increasing:
(−∞, 0), (2, ∞)
Decreasing: (0, 2)

7. Math 1000
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Let’s use this function one more time. Find the local
maxima/minima. Answer:

8. Math 1000
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Let’s use this function one more time. Find the local
maxima/minima. Answer: Maximum: (0,1)
Minimum: (2,-1).

9. Math 1000
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The Bottom Line
Using the graph of a function, you can give the values of
y, given an x.
The intervals where the function is moving upward from
left to right are increasing; if the function is falling from
left-to-right, it is decreasing.
Areas that are the highest (peak) are called maximums;
areas that are the lowest (valley) are called minimums.