RATIONAL FUNCTIONS, EQUATIONS, AND INEQUALITIES || GRADE 11 GENERAL MATHEMATICS Q1

0:03 [Music] rational function rational equation and rational inequalities rational expression a rational expression is an expression that can be written as a ratio of two polynomials so pakistan have been adding polynomials so human expression will add up to a long negative exponent well i'm fraction your at invaria volume expression equals radical

0:50 a rational expression also can be described as a function where either the numerator denominator or both have a variable on it so kagaya neto is a rational expression in 2 over x x squared plus 2x plus 3 over x plus 1 five over x minus three so both of them are rational expression so let's try to have an activity identify the following algebraic expression if they are rational or not first x squared plus three x plus two all over x plus four so um

1:35 identifying both numerator and denominator by irrational or polynomials rather so since your numerator and denominator are not in its polynomials so therefore this is a rational expression next we have one over three x squared so yung one is a polynomial and all over three x squared so it's also a polynomial so this is a rational expression another we have x squared plus four x minus three all over two so again so this is also a rational expression so we have the square root of x plus one

2:22 all over x cubed minus one so thinking nothing young numerator x plus one nothing is initial polynomial so therefore this is not a rational expression next we have x raised to negative 2 minus 5 over x cubed minus one so thinking that in my numerator and so it is negative so therefore this is not a rational expression so another we have one over x plus

3:09 two over x minus two so capacitive not n it own fraction at all so this is equivalent to one over x plus two times x minus two so like simplifying nothing and at an expand not in toy you know x plus two x times x minus two that is a polynomial so therefore this expression is a rational expression about rational expression identifying that nothing rational equation rational inequalities and rational function okay una rational equation

3:55 this is an equation involving rational expression so my kitten at n halimbawa so many times five over x minus three over two x is equal to one over five so modeling tanda and a rational equation there's a word net equation inequality in a man it involved an inequality involving rational

4:41 expression so capacitor be nothing inequality of course hindi sha equal symbol expression five over x minus three is less than or equal to two over x so if you must symbol that in a game it's a inequality a big sub in this equal symbol rational inequality

5:29 rational function a function of the form f of x is equal to p over x over q over q of x where p of x and q of x are polynomial function and q of x is not the zero function or your q of x is not equal to zero halimbawa f of x is equal to x squared plus two x plus three all over x plus one so on you know rational function rational equation at rational inequality tatanda natin formulator merushan f of x at alam natin is a function attend that our f of x is equal to y so hapagna kita

6:17 natan in the form of f of x or in the form of y e big sub n that is a rational function rational rational inequality metal inequality symbol like greater than less than greater than or equal less than or equal to rational function demand in the form of f of x or in the form of y so let's try to have and practice exercises so by the way a rational equation or

7:03 inequality can be solved for all x values that satisfy the equation or inequality a rational function expresses a relationship between two variables such as x and y and can be represented by a table of values or a graph determine whether the given rational

7:48 func is a rational function a rational equation a rational inequality or none of these first two plus x over x minus one is equal to eight seven since rational number young given next year you must so this is a rational equation we have x is greater than the square root of x plus two for example number two alum bucket hindisha in the form of ratio of two

8:37 ratio of two polynomials therefore this is the our answer is none of this so hindu rational equation initial rational inequality or rational function another we have f of x is equal to 6 minus x plus 3 over x squared minus 5. so this is an example of rational expression so alam nothing that this is a rational expression and an next nothing humongous sign or symbol form since maritime f of x

9:24 therefore y and i rational function next 2x is greater than or equal to 7 over x plus 4. again this is a rational expression a non titinating symbol making amicing greater than or equal and this is an inequality symbol so e big sub n and i rational inequality last we have x over two is equal to four over x plus nine x cubed so young given a man a rational expression and then megynamite is symbolic equals and that is rational equation so

10:13 i hope the differentiate given that law and a rational equation rational inequality at rational function thank you for watching this video i hope you learned something don't forget to like subscribe and hit the bell button but updated ko for more video tutorial this is your guide in learning your mod lesson your walmart channel