GENERAL MATH

PLEASE EXPLAIN HOW'D YOU GET THE ANSWER IN THE SUPPLEMENTARY EXERCISE. HELP ME UNDERSTAND PLEASE.

lesson:

Lesson 5: Rational Functions, Equations, and Inequalities Learning Outcome\"): At the end of the lesson. the learner is able to distinguish among rational functions. rational equations. and rational inequalities Lesson Outline: 1. Rational functions. rational equations. and rational inequalities Definition: A rational expression is an expression that can be written as a ratio of two polynomials. . . 2 Some examples of rational expressions are 3;. The definitions of rational equations. inequalities. and functions are shown below. Rational In : uaiit Rational Function Definition An equation An inequality A function of the involving rational involving rational farm fix) = er. resslons. er: ressions. \"[11 p p where pix] and six} are polynomial functions and q{x} is not the zero function (|.e.. litT} a ti}. A rational equation or Inequality can be solved for all it values that satisfy the equation or inequality. A rational function expresses a relationship behveen two variables (such as it and y}. and can be represented by a table of values or a graph (Lessons E-i}. Solved Exam pies Determine whether the given is a rational function. a rational equation. a rational inequality or none of these. 1. E = 3 (Answer: Rational equation} 2. x :- m (Answer: None of these} 3. x} = a :.+_: (Answer: Rational Function} 4. 2x a :7: (Answer: Rational Inequality} II- x 5. - = . 2 \"var-f (Answer: Rational equation} Lesson 5 Supplementary Exercises Determine whether the given is a rational function, a rational equation, a rational inequality or none of these. 1. y = 5x3- 2x + 1 3. Vx - 2 = 4 5. g(x) = 7x3-4vx+1 x2+3 2. X 4. x-1 =X2 6. 6x - 5 20 X 2x-1 x+1 X+3