Question on velocity

if im given a graph of a velocity vs time graph, how do i know where in the graph that it is speeding up or slowing down?

Well velocity is basically speed, just speed with direction :)
So if it's in the positive section of the graph and moving up, that means it's gaining speed in one particular direction. If it's going down but still remains positive then it's slowing down. However! If it's in the negative side, so, I'm assuming time is your x-axis here, if it's below that axis, and moving downwards further still, then it is in fact speeding up! In the opposite direction ^^
So if it's above the x-axis and moving upwards it's speeding up
and if it's below the x-axis and moving downwards it's also speeding up!
If it's above the x-axis but moving down, it's slowing down
If it's below the x-axis but moving up, it's also slowing down!
May be a little bit tricky at first but you should get your head round it soon! :) good luck ^^

If the velocity is increasing as the time is increasing, then it is speeding up. If the velocity is decreasing as the time is increasing, then it is slowing down.

Where v '(t) > 0, that's where the particle is speeding up while in the opposite case is where the particle is speeding down.

Positive slope = acceleration
Negative slope = deceleration

Speeding up is when the slope rises.
Slowing down is when the slope falls.