Given:
The function is given as,
[tex]y=\frac{k}{x}[/tex]
The given statement is the graph of the function that lies in quadrant I and quadrant III.
The objective is to choose whether the given statement is true or false for the given function.
Explanation:
A condition is given that the value of the numerator of the function is k > 0.
Consider the value of k as 3. Then, the graph of the function will be,
[tex]y=\frac{3}{x}[/tex]
If suppose k = 2,
Thus, the graph of the function always lies on quadrant 1 and quadrant 3 is k >0.
Hence, the given statement is true.
