Question

the graph of (c · d)(x) is shown.
plot a point at the ordered pair that represents (c · d)(4) on the graph of the combined function.

Explanation:

Answer:

To find \((c\cdot d)(4)\), we need to determine the \(y\)-value of the graph of \((c\cdot d)(x)\) when \(x = 4\).

Looking at the graph, we locate \(x = 4\) on the \(x\)-axis. Then we find the corresponding point on the graph of \((c\cdot d)(x)\) at \(x = 4\). From the graph, when \(x = 4\), the \(y\)-value (the value of \((c\cdot d)(x)\)) is \(-9\) (by visually inspecting the grid and the position of the curve at \(x = 4\)).

So the ordered pair representing \((c\cdot d)(4)\) is \((4, -9)\). To plot this point, we move 4 units to the right on the \(x\)-axis and 9 units down on the \(y\)-axis (since the \(y\)-value is \(-9\)) and place a point there.

(Note: If this were a digital tool, using the 'Point' tool, we would click at the coordinates \((4, -9)\) on the graph.)