Question

Period:
Asymptotes:
Range:

a) y= 2 sec (x) + 1
b) y= -2 csc (x - pi/2)
c) y= 1 + tan (x + pi/4)
d) y= 1/2 + csc (x - pi) + 1
e) y= cot (3x + pi) + 2

Any tips on drawing the graph?

Answer 1

WELL FOR SIN AND AND CSC YOU KNOW THAT THE INTERVAL HAS TO BE BETWEEN 0<X<2PI
SO YOU CAN FOR (B) 0<X-PI/2< 2PI AND THEN SOLVE FOR X. TO SEE WHERE THE GRAPH WILL LIE BETWEEN YOU GET PI/2<X<5PI/2
FOR TAN AND COT YOU KNOW INTERVAL IS PI/2<X<PI/2. FOR COS AND SEC 0<X<PI.
YOU ADDED NUMBER AT THE END MOVES THE WHOLE GRAPH UP OR DOWN WHATEVER NUMBER. AND THE NUMBER IN FRONT OF THE COS,SEC,TAN,COT,CSC,SIN MAKE THE HUMP OR THE HILL STRETCH UP 2 FOR EXAMPLE FOR (A).
HOPE THAT HELPS!

Answer 2

YOU COULD SEE THE GRAPH BY GOING TO GOOGLE AND ENTERING IN WOLFRAM ALPHA A WEBSITE AND ENTER IN THE EQUATION. THEY USUALLY WILL GRAPH IT FOR YOU BUT YOU NEED TO DETERMINE THE PERIOD, AND ETC. STUFF FOR YOUR GRAPH.