Answer with explanation:
→→→If you will look at the graph of the function ,which is number of albums produced which is on x axis, and number of album sold which is on y axis,as value of x increases , the value of y increases.
→→To prove this , we will use the concept of increasing and decreasing function.
At, [tex]x_{1}=3,y_{1}=1000[/tex]
And, [tex]x_{2}=5, y_{2}=2750[/tex]
By the definition of Strictly increasing function if ,
[tex]x_{2}>x_{1}\\\\{\text{then}},y_{2}>y_{1}[/tex]
Here, 5>3→→2,750>1,000
So,⇒⇒ the given function which is the relationship between, number of albums produced and number of albums sold , is an increasing function.
Also, if you will look at the graph, there is no upper bound on x (number of albums produced) as well as no upper bound on y ( number of albums sold.)
Option A: As the number of albums produced increases without bound, the number of albums sold increases without bound.