Fichas
Functions
Fichas del conjunto (49)
- 1A linear /ˈlɪniə(r)/ functionUne fonction affine
- 2The function lnThe logarithm /ˈlɒɡərɪðəm/ function/the natural logarithm
- 3A one-to-one functionUne bijection
- 4The edges of the domain (of a function)Les bornes de l'ensemble de définition d'une fonction
- 5What is the input value for which \(f(x)=0\)?Quels sont les antécédents de 0 par \(f\) ?
- 6Remplacer \(x\) par 0Plug in 0 for \(x\) = Plug in \(x=0\)
- 7The range of a functionThe complete set of all possible resulting values of the dependent variable (\(y\)- usually)- after we have substituted the domain.
- 8The graph of \(f\) passes through \((1-0)\)Le graphique de \(f\) passe par le point de coordonnées \((1\pv 0)\)
- 9The slopeThe ratio of the vertical change between two points- the rise- to the horizontal change between the same two points- the run
- 10The slope of a line passing through the points \((x_1- y_1)\) and \((x_2- y_2)\) is\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
- 11A line with a positive slope \((m > 0)\)A line which rises from left to right
- 12A line with a negative slope \((m < 0)\)A line which falls from left to right
- 13The slope intercept form of a linear function\(y=mx+b\) - \(m=\text{slope}\) - \(b=y−\text{intercept}\)
- 14The point-slope form of the equation of a straight line\(y−y_1 = m(x − x_1)\)
- 15The slope-intercept form of the equation of a straight line\(y=mx+p\)
- 16The inverse function of \(f\)La fonction réciproque de \(f\)
- 17\(\displaystyle\lim_{x\to\infty} f(x)\)Limit of \(f(x)\) as \(x\) approaches infinity
- 18To sketch the graph of \(f\)Donner une allure de la représentation graphique de \(f\)
- 19To graph the function \(f\)Tracer précisément la représentation graphique de \(f\)
- 20The function \(f\) is differentiable /dɪfə'renʃieɪbl/ on \(\mathbb{R}\)La fonction \(f\) est dérivable sur \(\mathbb{R}\).
- 21To differentiate /dɪfəˈrenʃieɪt/ the function \(f\)Dériver le fonction \(f\)
- 22\(f'\) est la dérivée de la fonction \(f\)\(f'\) is the (first) derivative /dɪˈrɪvətɪv/ of the function \(f\)
- 23\(y'=\dfrac{\text{d} y}{\text{d} x}\) is the derivative /dɪˈrɪvətɪv/ of \(y\) with respect to \(x\)La dérivée de \(y\) par rapport à \(x\)
- 24\(f'(2)\) est la dérivée de \(f\) en 2\(f'(2)\) is the derivative of \(f\) at 2/the derivative of \(f\) at \(x=2\)/the derivative of \(f\) at the point 2
- 25\(f''\) est la dérivée seconde de \(f\)\(f''\) is the second derivative /dɪˈrɪvətɪv/ of the function \(f\)
- 26\(f'(x)\)\(f\) dash \(x\) or the (first) derivative of \(f\) with respect to \(x\) or \(f\) prime of \(x\)
- 27\(f''(x)\)\(f\) double-dash \(x\) or the second derivative of \(f\) with respect to \(x\) or \(f\) double prime of \(x\)
- 28If \(y=f(x)\)- \(y\) is calledThe image of \(x\) under \(f\)
- 29If \(y=f(x)\)- \(y\) is called- \(x\) is calledA preimage /pri:ɪmɪdʒ/ of \(y\) under \(f\)
- 30When talking about limits- \(0\cdot \infty\) is calledAn indeterminate /ɪndɪˈtɜːmɪnət/ form
- 31Sketch the graph of the function \(f\)Dessine le graphique de la fonction \(f\).
- 32A piecewise function (or a piecewise-defined function)Une fonction définie par morceaux
- 33A constant piecewise functionUne fonction constante par morceaux
- 34To graph a functionTracer la représentation graphique d'une fonction
- 35The function that assigns to each nonnegative integer its last digitUne fonction qui associe à chaque entier naturel son dernier chiffre
- 36The function is concave /kɒnˈkeɪv/ up/the function is convexLa fonction est convexe
- 37The function is concave /kɒnˈkeɪv/ downLa fonction est concave
- 38The difference quotient of \(f\) is the average rate of change of \(f(x)\) over the interval \([x-x+h]\)Le taux d'accroissement de \(f\) entre \(x\) et \(x+h\)
- 39A limit exists if and only ifIts left-hand and right-hand limits exist and agree
- 40An invertible /ɪnˈvɜːtəbəl/ functionUne fonction bijective
- 41If \(f\) is an invertible /ɪnˈvɜːtəbəl/ functionIts graph passes the horizontal line test
- 42The graph of \(y=x^{1/n}\) is obtainedBy reflecting the graph of \(y=x^n\) across the line \(y=x\)
- 43\(\csc(x)\)\(\dfrac{1}{\sin(x)}\)
- 44\(\sec(x)\)\(\dfrac{1}{\cos(x)}\)
- 45\(\cot(x)\)\(\dfrac{1}{\tan(x)}\)
- 46If \(f(x)\) is continuous at \(x=a\)Then the graph of \(f(x)\) can be drawn by hand around \(x=a\) without having to lift the pencil from the paper.
- 47The greatest integer function is denoted by \(\lfloor x\rfloor\)La fonction partie entière
- 48A bounded functionUne fonction bornée
- 49An anti-derivative of the function \(f\)Une primitive de la fonction \(f\)
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- El usuario ha eliminado su información de asignaturas Fichas sobre Functions, creado por Usuario eliminado el 25/08/2023.
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- Creado por Dominique TREMULOT · 24 ago 2023
- Copiado por Dominique TREMULOT · 25 ago 2023
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