exercices de mathématiques niveau terminale sur les fonctions en anglais ( épreuve de bac DNL )

« 5 - Mapping - Equations and quadratic functions 1 Simultaneous equations In some situations we may have several equations that must be true at the same time.

We call these simultaneous equations. 1.1 Solution by substitution The method of solution by substitution is used when at least one equation is given with either x or y as the subject of the formula, or if it is easy to make x or y the subject. 1.2 Solution by elimination In problems where each equation has the form ax + by = c, elimination of one of the variables is preferred. In this method, we multiply each equation by a constant so that the coefficients of eiher x or y are the same size.

We then add (or subtract) the equations to eliminate one variable. You can also solve simultaneous by graphing each of the equations on your calculator.

The coordinates of the intersection point gives the simultaneous solution to the equations.

However, even if this method can help you find the solution, you still have to prove it using one of the two previous methods. 2 Reminders on functions A function is a rule that maps a number to another unique number. Definition The input, generally denoted x to the function is called the pre-image or the argument of the function. The output of the function, generally denoted f (x), is called the image of the function. Definition The domain of a function is the set of possible inputs.

Graphically, it is the set of x values involved in the graph. The range of a function is the set of corresponding outputs.

Graphically, it is the set of y values involved in the.... »