Question

Which graph represents two functions that are decreasing on all points across the domain that is common to both functions?

Answer 1

The domain of a graph is the set of input values the graph can take.

The graph that represents two functions that are decreasing on all points is the second graph

The condition for a decreasing function is that:

$\mathbf{If\ a > b}$

$\mathbf{Then\ f(a) < f(b)}$

All the given graphs have a common polynomial function and different linear functions.

First graph:

The domain of the linear function is:

$\mathbf{x \ge -1}$

At this interval, both the linear function and the polynomial function increases across all common points

Second graph:

The domain of the linear function is:

$\mathbf{x \le -1}$

At this interval, both the linear function and the polynomial function decreases across all common points

Third graph:

The domain of the linear function is:

$\mathbf{x \le -1}$

At this interval, the linear function increases across all points, while the polynomial function decreases at the common points

Fourth graph:

The domain of the linear function is:

$\mathbf{x \ge -1}$

At this interval, the linear function decreases across all points, while the polynomial function increases at the common points

Using the above highlights, the graph that represents two functions that are decreasing on all points is the second graph (see attachment)

Read more about domain at:

brainly.com/question/2709928