Question

On the graph of f(x)=5 \sin(3 \pi x), 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.

Answer 1

f(x) = 5sin(3pix)

Answer 2

It looks at we first need to find where a max and min occur (and we need to select x such that occur right after each other)

Answer 3

do you know how to find derivative?

Answer 4

we can do it without derivative if you don't know how.

Answer 5

do you know the max and min value of the graph?

Answer 6

the amplitude number tells you that?
if we can find the max and min
then we can this to find the x's in which they occur
5sin(3pix)=max <--- solve

5sin(3pix)=min <--- solve