Class notes AP Pre-Calculus Unit 1, Day 1. Topics 1.1-1.3

F~ction Vocab+ Rates of Change (1.1-1.3) Homework
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f(x)
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Consider f(x) graphed above. Let A, B, C, D, E, F, and G be the x-coordinates of the labelled points.
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1. Identify the domain and range off (x). Express in interval notation. ('5 61
2. Over what interval(s) does f(x) increase? Give your answer in interval notation. C-1, (J \) 1

3. Over what interval(s) does f(x) decrease? Give your answer in interval notation. C 1/iJ U [ ' ':'.tJ
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4. Find the average rate of change off (x) over the interval 0 $ x $ 4. Lo,~) l't 1 I ) _!::2._ -=-/--
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5. What is the absolute maximum value off (x)? L-{
6. Find the global minimum value of f(x)? - I
7. List all x-_.,values at which f(x) has local maxima.x-=(,,
8. List q.U x:..values at which f(x) has relative ."'!inima. x::-1, ?1 1-
9. Identify all zeros off (x). )< ::-( ?
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10. Which is greater, the rate of change off (x) at x = 0 or the rate of change of f(x) at x = 2? Provide your
rationale. X-=-o,c.\J!r-fl\a:t 1s o... po~;-\-i\Je.6ltl~1X::'l i-s f\~\Je.
11. Put the following in order from least to greatest:
I) The average rate of change of f(x) over the interval [E, G] /
II) The average rate of change off (x) over the interval [A, C]-
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111) rhe average rate of ~hange off (x) over the interval [B, F]........_
IV) The average rate of change off (x) over the interval [B, D] "-
V) The average rate of change off (x) over the interval [D, F]/



~2. Consider the function g(x) graphed to the right. Rank the
following in order from least to greatest: .
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I) The rate of change of g(x) at x = 1
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II) The rate of change of g(x) at x = 3
Ill) The average rate of change of g(x) over the interval [1,2]
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IV) The average rate of change of g(x) over the interval [1,3]

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CBHS AP Precalculus 2025/26 - Unit 1, Day 1 HW