Question

Use the drawing tool(s) to form the correct answer on the provided number line.Consider the given functions.Drawing ToolSelectPointOpen PointLine SegmentRayFunction 1f(3) = -51 +11+10OClick on a tool to begin drawingReset++-1Function 2g(x)0-2Represent the interval where both functions are decreasing on the number line provided.go2010-10--20--30-2Delete6Undo

Answer 1

We are given two functions;

f(x) which is an absolute value equation and g(x) which is a graph.

We have to give the interval over which both functions are decreasing.

From the graph of g(x), we see that g(x) decreases over the interval;

`(-2,2)`

and plotting the diagram of f(x), we have;

We see that f(x) decreases on the interval;

`(-1,\infty)`

Thus, the interval over which both funtions decrease which is the intersection of both functions is;

`(-1,2)`

Representing this on a number line, we have;