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Functions| Introduction to Functions| Functions' Domain and Range| Roots of Functions, f(x) = 0.

A function is a mathematical relationship that maps each value of a set of inputs to a single output. The notation f(x) is used to represent a function of x. The set of possible inputs for a function is called the domain. The set of possible outputs of a function is called the range. The function f(x)=x^2 maps values of its domain to values in its range. The roots of a function are the values of x for which f(x) = 0. f(x) = x^2 + 6x -5 Complete the square for x^2 + 6x and then simplify the expression. (x + 3)^2 - 9- 5 (x +3)^2 - 14 Example- 2 f(x) = x^6 + 7x^3 - 8 Treat x^3 as a single variable and factories second method Replace x^3 with u, u = x^3 and solve the quadratic equation in u; however, convert back to values of x using your substitution. In algebra, letters are used to stand for values that can change (variables ) or for values that are not known ( unknowns ). A term is a number or letter on its own, or numbers and letters multiplied together, Letters can be used to stand for unknown values or values that can change. Formulas can be written and equations solved in a range of problems in science and engineering. Collecting like terms means simplifying terms in expressions in which the variables are the same. 5 x n and n x 5 are both written 5n a x b and b x a are both written ab 5a, 7a, a, 12a,... are examples of like terms 5a, 7b, z, 12y,..... are examples of unlike terms Collecting like terms means simplifying terms in expressions in which the variables are the same. In the expression 4a + 3b + 3a - 6b, the tears 4a and 3a are like tears, as are 3b and - 6b. The Federal Trade Commission (“FTC”) requires that all affiliate marketing be disclosed. This requirement is part of the FTC’ attempts to make sure that consumers are presented with as much accurate information as possible when making decisions about their purchases. "Channel assumes no responsibility or liability for any errors or omissions in the content of this site. The information contained in this site is provided on an "as is" basis with no guarantees of completeness, accuracy, usefulness or timeliness..." Functions| Introduction to Functions| Functions' Domain and Range| Roots of Functions, f(x) = 0 Kamal Jajoria Functions| Introduction to Functions| Functions' Domain and Range| Roots of Functions, f(x) = 0