# 1.3(ONE) - 1.3 More on Functions and Their Graphs:...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1.3 More on Functions and Their Graphs: Increasing and Decreasing function: Increasing, Managing, an! Cam-stain Flint-{loss i. a fanning: is increasing m1 as apes internal, I, if ani' may 3:, ans 3;; is [lac i§.1£ea'v&l,n=‘§1rir A: ~-: .r_s,.ilzm_;‘€x,& -: 3an, .2. Manning]. isﬁerrcasiagmianopeniii-156ml,Liffmrany}; Eiliaiireiliiiitflilliii’i'aidlill.t*i'ﬁ .i‘uiilﬂl if, :ng 3. a {iiiiﬂilmi ismnsiaaienan ripen inlelvnijjfi'm’anger, :1ﬂd3’;lt1 the interval,wheres; Ir: ,t;,3lienfr,} fungi, Illnesseng {Managing {Seminar 5 ﬁ' IL 11'; in: .1". «z xlin I, [2} Filiﬂ’.‘ mail. {3; {1mg vagina" gt, a, _l e: six-32;. fir; l :s {mg-J: {1; iii! 7 I"! nil: fix lawn-using [:21 l. V? i¥-tl:?§‘liiii‘ll-’§i_-E in] 1' {is smusiunim I, The open intervals describing where functions increase, decrease, or are constant, use X-coordinates and not the y- coordinates. Where a function is positive, negative, and zero? Positive: A function is positive at a point on the X-axis where the graph of the function lies above the X-axis (formal deﬁnition: The set {x | f(x) > 0} denotes where f is positive). Negative: A function is negative at a point on the x~axis where the graph of the function lies below the x-axis (formal deﬁnition: The set {x 1 f(x) < o}den0tes where f is negative). Zero: A function is zero at a point on the X-axis where the graph of the function lies on the X-axis (formal deﬁnition: The set {x 1 f(x) = 0} denotes where f is zero). Find Where the graph is increasing? Where is it decreasing? Where is it constant? 4'00 llﬂllllﬂll Ilﬂllllﬂll =--::=:::: i unlu- Inn-unl- III-null.- IIIIIIIII (—02» 2-) WWW"? ND Cow—P- Relative Maxima and Relative Minima: ﬂeﬁaiﬁnae at” Relative Maximum anti Relative Minimum 1. A irritation value fit-I} is a relative mania 3r mum of f if there exiais an ripest]: l]Eii‘-I’.‘Wﬁl about: at ranch that it a} ﬁre fir: int all; a: in the open it: tearvaL A inaction value {iii} is a lili‘iﬂziit’ﬁ mini-m mum at f if there estate an ape 3:1 interval alum: t2 snail that fight} *2: fits) tor ail A? in the 4.}53621 in larval. gelatin maximum Rﬁlﬂﬁfﬁ _ A“ minimum i‘l :1“ if 6 . x \ i E {i {i ifJ.,t{i1_.Iil Local Maximum: A local maximum occurs at an x-axis point where a graph peaks. (formal deﬁnition: A function f has a local maximum on an open interval containing a point c if f(x) 5 f(c) for all points X in the interval.) The local maximum is the value (output) of the function at this pomt. Local Minimum: A local minimum occurs at an X-axis point Where the graph dips lowest. (formal deﬁnition: A function f has a local minimum on an open interval containing a point e if f(X) 2 f(c) for all points X in the interval.) The local minimum is the value (output) of the function at this point. Find Where the graph is increasing? Where is it decreasing? Where is it constant? Where are the relative minimums? Where are the relative maximums? Why are the maximums and minimums called relative] 0_1_'_l9_§al? ...
View Full Document

## This note was uploaded on 01/16/2012 for the course MATH 126 taught by Professor Blisinhestiyas during the Fall '11 term at Truckee Meadows Community College.

### Page1 / 4

1.3(ONE) - 1.3 More on Functions and Their Graphs:...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online