f(x)=6sin(6 pi x) deterime slope.

Question

anonymous · Answer

Looking for help here, I know min and max are 6, -6 but how do you determine other points to define slope. I came to -12/(-2pi/12) and reduced -6/-(pi/6) but not working

tkhunny · Answer

Determine the slope WHERE?  Everwhere?

anonymous · Answer

On the graph of F(x)=6sin(6pix), points P and Q are at consecutive lowest and highest points with P occuring before  Q. Find the slope of the line which passes through P and Q

anonymous · Answer

this is a periodic function, with period $2\pi/6\pi=1/3$ thhis means that the poinys P and Q are separated by distance $1/2 $ of the period. So it means 1/6. Now, as you already determined the function max and min values are 6 and -6. Remmember noe the slope formula.
slope $=(y_2-y_1)/(x_2-x_1)$
in your case $y_2-y_1= -6 -6=-12$ and $x_2-x_1=1/6$ so....

anonymous · Answer

sry, you sa P is min and Q max, so $y_2=Q$ and $y_1=P$ so $y_2-y_1=6-(-6)=12$. My bad

anonymous · Answer

Thank you I have been stewing over that for a few hours ! I was almost there but lacked that little step!