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miller_intermediate_algebra_4e_ch1_3

Answers 4. Yes 5. No Solution: a. b. Skill Practice Use the vertical line test to determine whether the relations define y as a function of x. 4. 5. x y x y y x Function No vertical line intersects in more than one point. y x Not a Function A vertical line intersects in more than one point. Avoiding Mistakes Be sure to note that f (x ) is not f x. 3. Function Notation A function is defined as a relation with the added restriction that each value in the domain must have only one corresponding y value in the range. In mathematics, functions are often given by rules or equations to define the relationship between two or more variables. For example, the equation defines the set of ordered pairs such that the y value is twice the x value. When a function is defined by an equation, we often use function notation. For example, the equation may be written in function notation as • f is the name of the function. • x is an input value from the domain of the function. • f(x) is the function value (y value) corresponding to x. The notation f (x) is read as “f of x” or “the value of the function f at x.” A function may be evaluated at different values of x by substituting x-values from the domain into the function. For example, to evaluate the function defined by at substitute into the function. f 152 10 f1x2 x 5, x 5 2x TIP: can be written as the ordered pair (5, 10). f 1x2 2x f 152 2152 f 152 10 f 1x2 2x y 2x y 2x 194 Chapter 2 Linear Equations in Two Variables and Functions


miller_intermediate_algebra_4e_ch1_3
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