Pre1o1_1330 - f-= 7 Find 1 2-x f and then its y-intercept...

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Section 1.1 – Definition of a Function 1 Section 1.1 Definition of a Function Let A and B be two nonempty sets. A function from A to B is a rule of correspondence that assigns to each element in A exactly one element in B. Domain of a Function To determine the domain of a function, start with all real numbers and then eliminate anything that results in zero denominators or even roots of negative numbers. Range of a Function To determine the range of a function, determine what outputs are possible. This is not always easy. Sometimes it helps to graph the function. Example 1: Find the domain for each of the following functions. a. 5 2 ) ( - = x x f b. 7 1 4 ) ( - + = x x x f and then find the range.
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Section 1.1 – Definition of a Function 2 c. 20 9 6 2 ) ( 2 + - + = x x x x f d. 7 1 3 2 1 ) ( + - + + = x x x x f e. 12 7 3 ) ( + = x x x f Evaluating Functions Example 2: Suppose x x x
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Unformatted text preview: f-= 7 ) ( . Find ) 1 2 ( +-x f and then its y-intercept. Section 1.1 – Definition of a Function 3 Piecewise Defined Functions Definition: A function that is defined by two (or more) equations over a specified domain is called a piecewise function. Example 3: Suppose ≥ < <---≤-= 8 , 8 2 , 5 2 , 3 ) ( 2 x x x x x x f . Find: a. f(-10) b. f(15) c. y-intercept Average Rate of Change h x f h x f x h x x f h x f x y ) ( ) ( ) ( ) ( ) ( in x change y in change-+ =-+-+ = ∆ ∆ = This is the Difference Quotient and it will be used in Calculus. Example 4: Calculate the Difference Quotient of 1 1 ) ( + = x x f . Section 1.1 – Definition of a Function 4 Example 5: Calculate the Difference Quotient of x x x f--= 2 ) (...
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Pre1o1_1330 - f-= 7 Find 1 2-x f and then its y-intercept...

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