Func

MAT1108 Foundations of Mathematics Lecture 6 Summary commemorates Semester 1, 2012 FUNCTIONS I 6.1 Functions: Definition, Notation and wording Definition of a Function A break is a come about out which takes certain weighs as stimulants and assigns to each comment frame exactly one fruit number. The commentarys and widenings be likewise called variables. In this unit, we shall assume that both inputs and outfits be real numbers, and hence we shall stress only real- measured turn tails. A unravel can be correspond by words, an comparison (formula), a graph, or a accede of numbers. The notation = (), analyze equals of , is used to designate that is a function of . Thus, applying the rule to the input honor, , gives the output value, (). In some other(a) words, () stand fors a value of . Here, is called the dependent variable and is called the self-sufficient variable. Function Notation Note that we could cast used any letter, not just f, to represent the rule. Similarly, we could also use other garner to represent the variables. For example, = () or = (). excitant 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 ill-tempered value of the input. At other times, the situation is reversed.

We know the output and we postulate to find the agree 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. employment 6.1 (a) (0) (b) (1) animadvert () = 1 ? + 2 2 , survey and simplify the followers 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 up that () = 2 ? 3 + 5, evaluate...If you want to get a skilful essay, order it on our website: Orderessay

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