Which properties are present in a table that represents an exponential function in the form y=b^x when b > 1? I. As the x-values increase, the y-values increase. II. The point (1, 0) exists in the table. III. As the x-values increase, the y-values decrease. IV. As the x-values decrease, the y-values decrease, approaching a singular value. I and IV I and II II and III III only

Properties that are present are

Property I

Property IV

Step-by-step explanation:

The function given to us is where b > 1

Let us take a function, for example,  

Now, let us check the conditions before we continue:

I. When the x-values increases, the y-values will also increase.

Let us put some values:

y = 2 ^ 1

which results to y = 2

and

y = 2 ^ 2

which results to y = 4

So this is definetly TRUE.

II. The point: (1,0) is in the table.

Ok, now let us put 1 into x and try to see if it gives us 0

y = 2 ^ 1

y = 2

So this is surely FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value actually decrease. Now, the y values decrease approaching a singular value.

The exponential function of this form will NEVER go to 0 and is NEVER negative. So as x decreases, y also decrease and came to a value (that is 0) but never becomes 0.

This is TRUE.

Therefore, Option I and Option IV are true.