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

Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that increases from the left in quadrant 1 from an endpoint at 1 comma 0 and passing through the point 2 comma 1 and 6 comma 2
Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that decreases from the left in quadrant 4 from an endpoint at 1 comma 0 and passing through the point 2 comma negative 1 and 6 comma negative 2
Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that decreases from the left in quadrant 2 passing through the points negative 8 comma 3 and negative 3 comma 2 to an endpoint at 1 comma 0
Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that increases from the left in quadrant 3 passing through the points negative 8 comma negative 3 and negative 3 comma negative 2 to an endpoint at 1 comma 0

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Mathematics

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

Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that increases from the left in quadrant 1 from an endpoint at 1 comma 0 and passing through the point 2 comma 1 and 6 comma 2
Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that decreases from the left in quadrant 4 from an endpoint at 1 comma 0 and passing through the point 2 comma negative 1 and 6 comma negative 2
Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that decreases from the left in quadrant 2 passing through the points negative 8 comma 3 and negative 3 comma 2 to an endpoint at 1 comma 0
Polynomial function h of x that decreases from the left in quadrant 2 and passes through the point 0 comma 5 to a minimum at 1 comma 4 and then increases to the right passing through the point 2 comma 5 and radical function j of x that increases from the left in quadrant 3 passing through the points negative 8 comma negative 3 and negative 3 comma negative 2 to an endpoint at 1 comma 0

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MRROYALGO MRROYALGO · 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:

[tex]\mathbf{If\ a > b}[/tex]

[tex]\mathbf{Then\ f(a) < f(b)}[/tex]

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

First graph:

The domain of the linear function is:

[tex]\mathbf{x \ge -1}[/tex]

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:

[tex]\mathbf{x \le -1}[/tex]

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:

[tex]\mathbf{x \le -1}[/tex]

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:

[tex]\mathbf{x \ge -1}[/tex]

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)