Functions

A linear /ˈlɪniə(r)/ function

The function ln

A one-to-one function

The edges of the domain (of a function)

What is the input value for which \(f(x)=0\)?

Remplacer \(x\) par 0

The range of a function

The graph of \(f\) passes through \((1-0)\)

The slope

The slope of a line passing through the points \((x_1- y_1)\) and \((x_2- y_2)\) is

A line with a positive slope \((m > 0)\)

A line with a negative slope \((m < 0)\)

The slope intercept form of a linear function

The point-slope form of the equation of a straight line

The slope-intercept form of the equation of a straight line

The inverse function of \(f\)

\(\displaystyle\lim_{x\to\infty} f(x)\)

To sketch the graph of \(f\)

To graph the function \(f\)

The function \(f\) is differentiable /dɪfə'renʃieɪbl/ on \(\mathbb{R}\)

To differentiate /dɪfəˈrenʃieɪt/ the function \(f\)

\(f'\) est la dérivée de la fonction \(f\)

\(y'=\dfrac{\text{d} y}{\text{d} x}\) is the derivative /dɪˈrɪvətɪv/ of \(y\) with respect to \(x\)

\(f'(2)\) est la dérivée de \(f\) en 2

\(f''\) est la dérivée seconde de \(f\)

\(f'(x)\)

\(f''(x)\)

If \(y=f(x)\)- \(y\) is called

If \(y=f(x)\)- \(y\) is called- \(x\) is called

When talking about limits- \(0\cdot \infty\) is called

Sketch the graph of the function \(f\)

A piecewise function (or a piecewise-defined function)

A constant piecewise function

To graph a function

The function that assigns to each nonnegative integer its last digit

The function is concave /kɒnˈkeɪv/ up/the function is convex

The function is concave /kɒnˈkeɪv/ down

The difference quotient of \(f\) is the average rate of change of \(f(x)\) over the interval \([x-x+h]\)

A limit exists if and only if

An invertible /ɪnˈvɜːtəbəl/ function

If \(f\) is an invertible /ɪnˈvɜːtəbəl/ function

The graph of \(y=x^{1/n}\) is obtained

\(\csc(x)\)

\(\sec(x)\)

\(\cot(x)\)

If \(f(x)\) is continuous at \(x=a\)

The greatest integer function is denoted by \(\lfloor x\rfloor\)

A bounded function

An anti-derivative of the function \(f\)