The graph shows the processing speeds of computers as a function of time since 1980.
which statements are true about the function?
select each correct answer.
a. the range is y≥16 , so the processing speeds are always positive.
b. the point (0,16) represents an initial processing speed of 16 mhz.
c. the point (10,256) represents the maximum processing speed.
d. the domain is x> 0 , so the processing speed increases over time.
e. the graph is ascending, indicating that the processing speed increases over time.

A, B and E are correct.

Step-by-step explanation:

We are given a function representing the processing speed of computers with respect to time.

Let, x-axis = axis corresponding generation and y-axis = axis corresponding the processing speed.

We can see that the the starting point of the function is (0,16). This gives us that the range of the function is y≥16 and (0,16) represents the initial speed of the computer.

So, option A and B are correct.

As, we can see that the function is going upwards after passing the point (10,256). This gives us that, this point does not the represent the maximum processing speed.

So, option C is not correct.

Also, only the domain being x>0 does not imply that the processing speed increases.

So, option D is not correct

Further, as the graph is ascending, so we see that as time increases, the processing speed increases.

So, option E is correct.

The correct statements are in bold.

A. The range is y≥16 , so the processing speeds are always positive. (As the initial point is 16 and the graph is going upwards from there hence,the range y≥16 shows positive speed growth. Below this range, the speed will fall.)

B. The point (0,16) represents an initial processing speed of 16 MHz. (This is clearly visible in the graph.)

C. is not right as the graph is going up from 10256.

D. This is also not right. The given domain is not specific of speed.

E. The graph is ascending, indicating that the processing speed increases over time. (We can see as the time increases, the processing speed increases.)

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