Question

if you had a graph of an absolute value function, f(x)=-|x-3|+1, what would be the increasing and decreasing intervals?

Answer 1

For all absolute value functions:
y=a|x-h|+k

Here your a=-1, h=3, k=1.

The a being negative means it first goes up then goes down (like a mountain). (h,k) gives you the vertex of the function. So it increases until h (up the mountain) and decreases after h (down the mountain)

Answer 2

so the center would be (3, 1)

and the inc interval would be (neg infinity, 3) and dec interval would be (3, infinity) ?

Answer 3

also, i have to find the maximum and minimum, if you could please help me please? :)

Answer 4

Yes the intervals are perfect! Draw the graph if you want, it should be pretty obvious!

Answer 5

(hint: there isn't necessarily a max and/or min)

Answer 6

so the max is 3,1 and there isnt really a min is there?

Answer 7

Or would the minimum be written as (neg infinity, infinity)?