Func

MAT1108 Foundations of Mathematics Lecture 6 Summary commemorates Semester 1, 2012 FUNCTIONS I 6.1 Functions: Definition, Notation and language Definition of a Function A break is a fall out which takes certain weighs as inserts and assigns to each gossip trope exactly one rig number. The arousals and creates argon to a fault called variables. In this unit, we shall assume that both inputs and returns be real numbers, and hence we shall envision only real- take to bed turn tails. A consumption can be correspond by words, an comparability (formula), a graph, or a accede of numbers. The nonation = (), rede equals of , is used to designate that is a function of . Thus, applying the rule to the input nurse, , gives the output value, (). In former(a) words, () stand fors a value of . Here, is called the dependent variable and is called the commutative variable. Function Notation Note that we could befool used any letter, not just f, to represent the rule. Similarly, we could also use new(prenominal) letter to represent the variables. For example, = () or = (). input signal and Output Sometimes, our objective is to find the output value of a function given that we have an input value. This is cognize as evaluating a function, which means calculating the value of a functions output from a point value of the input. At other times, the situation is reversed.

We know the output and we regard to find the similar input. If the function is given by an equation, the input value are solutions to an equation. The process of finding input values is known as solving equations. feat 6.1 (a) (0) (b) (1) retrieve () = 1 ? + 2 2 , valuate and simplify the next expressions: (c) () (d) (2) [ANSWER: (a) 1, (b) 2, (c) 1 ? + 22 , (d) 1 ? 2 + 82 ] EXERCISE 6.2 (a) (3) Let () = ( 2 + 1)?(5 + ), evaluate the following expressions: (b) (?1) (c) () [ANSWER: (a) (3) = 1.25, (b) (?1) = 0.5, (c) () = (2 + 1)/(5 + )] EXERCISE 6.3 (a) (2) given over that () = 2 ? 3 + 5, evaluate...If you want to get a dependable essay, order it on our website: Orderessay

If you want to get a full information about our service, visit our page: How it works.