when there is an increase in net wealth , consumption increases and vice -versa.This may happen cause u already own assets , so u may think of spending.
WIth increase in price level , consumption is discouraged.It can be seen in the basic demand function too.
With Rise in intrest rates , people try to save more and also , they wont try to lend money and spend it as intrest rate is high.So , it is also an offset to consumption function and vice versa
Expectations also play a role in consumption function , for example if a consumer expects that the income levels are going to fall , he would try to save more and consume less.
I hope this helps .If you have any queries , put it in the comments.I will edit/modify my answer accordingly.
Have a nice day :)
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