At LaSt I CoMe To WhAt We StUdIeD tOdAy!!!

AFTER SO MANY POSTS, AT LAST I CAN WRITE ABOUT WHAT WE STUDIED TODAY..TODAY'S CLASS WAS ABOUT CHARACTERISTICS OF POLYNOMIAL FUNCTIONS...IT WAS SOMETHING TOTALLY NEW..SO WE ALL HAD TO PAY EXTRA ATTENTION IN CLASS..AS I AM KINDA TIRED OF TYPING SINCE JUST NOW, I'LL GET STRAIGHT TO THE POINT ALRIGHT..CHEERS!!

INFO TO KNOW ~

ODD DEGREE FUNCTION WITH POSITIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = ANY VALUE
END BEHAVIOUR = EXTENDS FROM QUADRANT 3 TO QUADRANT 1
NO. OF ABSOLUTE MAX/MIN POINTS = 0
NO. OF TOTAL LOCAL MIN POINTS = 0
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 1, MAX n

ODD DEGREE FUNCTION WITH NEGATIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = ANY VALUE
END BEHAVIOUR = EXTENDS FROM QUADRANT 2 TO QUADRANT 4
NO. OF ABSOLUTE MAX/MIN POINTS = 0
NO. OF TOTAL LOCAL MIN POINTS = 0
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 1, MAX n

EVEN DEGREE FUNCTION WITH POSITIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = VALUES GREATER THAN OR EQUAL TO a(a CAN BE SEEN IN THE GRAPH)
END BEHAVIOUR = EXTENDS FROM QUADRANT 2 TO QUADRANT 1
NO. OF ABSOLUTE MAX/MIN POINTS = 1
NO. OF TOTAL LOCAL MIN POINTS = 1
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 0, MAX n

EVEN DEGREE FUNCTION WITH NEGATIVE LEADING COEFFICIENT :
DOMAIN = ANY VALUE
RANGE = VALUES GREATER THAN OR EQUAL TO a(a CAN BE SEEN IN THE GRAPH)
END BEHAVIOUR = EXTENDS FROM QUADRANT 3 TO QUADRANT 4
NO. OF ABSOLUTE MAX/MIN POINTS = 1
NO. OF TOTAL LOCAL MIN POINTS = 1
NO. OF TOTAL LOCAL MAX POINTS = n-1
NO. OF X-INTERCEPTS = MIN 0, MAX n