חזקה טבעית של פונקציה – חלק ב – חזקה שלישית – מדרגה 3 – Stepped Tasks

חזקה טבעית של פונקציה - חלק ב' - חזקה שלישית $f^3{(x)}$

מדרגה 3

בסרטוטים הבאים נתונים גרפים של הפונקציות $g(x)$ ושל $p(x)$ .

סרטטו את הגרף של $g^3(x)$ באותה מערכת צירים של $g(x)$ .
סרטטו את הגרף של $p^3(x)$ באותה מערכת צירים של $p(x)$ .

$g(x)$

$p(x)$

נקודת חיתוך עם הצירים: $(0,0)$

תחום הגדרה: כל $x$

נקודת חיתוך עם הצירים: $(0,0)$

נקודת קיצון: מינימום $(0,0)$

שימו לב, בכל אחד מהסעיפים, גם לנקודות החיתוך בין הגרפים ולמצב ההדדי ביניהם.

שימו לב להתנהגות הפונקציות, בכל אחד מהסעיפים, בסביבת נקודות החיתוך שלהן עם ציר ה- $x$ .

תוכלו לסרטט ולבדוק תשובותיכם בעזרת היישומון המצורף.

אחרי שפתרתם את הבעיות במדרגה 3, פתרו את בעיית המטרה.

מתוך מחסן הנקודות יש לגרור ולמקם לפחות שבע נקודות במקומות המתאימים להן.
יש להיעזר בעיפרון שבתפריט העליון, ולסרטט את גרף הפונקציה החדשה.
ניתן לבצע בדיקה רק לאחר מיקום של לפחות שבע נקודות.
במידת הצורך, ניתן להציג שיקוף של הנקודה האדומה על ידי בחירה של האפשרות המתאימה בתפריט שבתחתית היישומון: שיקוף בציר ה- $x$ או בציר ה- $y$ .
למתיחת או כיווץ הצירים, יש לבחור בתפריט העליון את ארבעת החיצים ולגרור את העכבר על הציר המבוקש. בסיום, כדי להמשיך, יש לבחור בחץ בתפריט העליון.
כדי ל"נקות" את היישומון ולהתחיל מחדש יש ללחוץ על הכפתור אתחול או להיעזר בחיצי האתחול שבפינה הימנית העליונה.

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