242,613 views
31 votes
31 votes
Which interval of the graph is decreasing? f(x)=|x-3|Option 1: (-inf,inf)Option 2: [3,inf)Option 3: [-4,7]Option 4: (-inf,3]

Which interval of the graph is decreasing? f(x)=|x-3|Option 1: (-inf,inf)Option 2: [3,inf-example-1
User AgilePro
by
3.0k points

1 Answer

13 votes
13 votes

If you look closely at the graph, if has two lines

One is decreasing and the other one is increasing

The decreasing graph is the one on the left sloping downwards and the increasing one is the one on the right sloping upwards

A graph decreases when as the value of x increases, the value of y decreases

From the graph, the decreasing part starts from the negative x-axis on the left which corresponds to minus infinity and ends at x = 3.

Therefore, the interval of the graph is decreasing at


(-\infty,3\rbrack

User Arun Krish
by
2.5k points