Tracciare grafico

Skill — Tracciare grafico.

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Linked atoms

35 linked atoms.

07 Teoria degli insiemi

• Hasse diagram of the divisors of 30

12 La parabola

• Functions with absolute value
• Vertex, axis and concavity

13 Radicali ed equazioni irrazionali

• Example — computing a regression line

18 Fasci di rette

• Proper and improper pencils compared

19 Luoghi geometrici nel piano cartesiano

• Parabola from focus and directrix

21 Ellisse

• Eccentricity and shape of the ellipse

22 Iperbole e funzione omografica

• Asymptotes and centre of symmetry
• Example — studying a homographic function
• Foci, vertices, asymptotes and eccentricity

23 Funzioni, linguaggio e proprietà

• Building and drawing a piecewise function
• Graph and continuity of a piecewise function
• Graph and image of |x-1|-|x+1|
• Properties of the inverse and symmetry of the graph
• The horizontal line test

24 Trasformazioni nel piano cartesiano

• Ellipses as dilated circles
• Square root reflected across the y-axis
• Traslazioni

25 Funzione esponenziale

• The graph and the family of exponentials

26 Funzione logaritmica

• Graph and inverse function
• Semi-logarithmic paper

28 Circonferenza goniometrica e funzioni sin, cos, tan

• Equations in polar coordinates
• Graph of the tangent
• Graphs of arcsin, arccos and arctan
• Graphs of sine and cosine
• Plotting the cardioid

42 Derivate

• Graph with corner, cusp and vertical tangent
• Study of (x²−1) over (x²+1)
• Study of ln(x²−4)
• Study of x·e to the −x
• The Taylor polynomial

43 Studio di funzione

• Complete curve sketching - the six steps
• Complete study of sin x · e^{-cos x}
• Convexity, concavity and inflection points
• The first derivative test