Chapter 7 - Radical Equations and Inequalities

Glencoe Mcgraw Hill Algebra

________ 2- Unit 2 Chapter 7- 3- Square Root Functions and Inequalities Olivia Li Square root function- occurs when a function contains a square root of a variable Parent function: 𝑦= 𝑥- The inverse of a quadratic function is a square root function (only nonnegative numbers for it to be a function)

Quotientif all roots

________ are defined and b≠0 To Simplify a Square Root: 1.

Inverse relation

the set of ordered pairs obtained by reversing the coordinates of each ordered pair

Principal root

the nonnegative root out of a number of real roots

Like radical expressions

two radical expressions with the same indices and radicands

Radical equations

equations with radicals that have variables in the radicands

Extraneous solution

a solution that does not satisfy the original equation

Radical inequality

an inequality that has a variable in a radicand