Functions

Question 1

formula for finding number of onto functions

Answer 1

https: //imgur.com/PcxfPPj
eg: - https://imgur.com/0CudeaF

Question 2

Types of relations:- symmetric,reflexive, transitive definition

Answer 2

https://imgur.com/4LmOLZe

Question 3

Shape of biquadratic function graph

Answer 3

https://imgur.com/yTvKqF6

Question 4

Shape of biquadratic function graph

Answer 4

https://imgur.com/yTvKqF6

Question 5

what would a question be related to if asked the number of solutions!?

Answer 5

it might be highly related to graphs and functions and calculus

Question 6

when to divide a biquadratic function by x^2 to make a new quadratic equation

Answer 6

if the x^4 and constant has same coefficient! divide it by x^2
and x^3 and x has same coefficient

Question 7

if not able to form a graph as the differentiated function doesn’t forms factor, then what to do

Answer 7

form a double function in one equation! like equate the LHS with RHS where LHS and RHS can have a graph and then draw the graph and see the intersection points

like https://imgur.com/QB2lgqf

Question 8

t^2 + t + 1 = 0

is always positive/negative

Answer 8

its always positive

Question 9

when using graph/calculus for finding number of roots! what to keep in mind

Answer 9

see that the if the graph goes from -ve y value to + ve y value which signifies it passes through x axis