Answer:
Properties that are present are
<em><u>Property I</u></em>
<em><u>Property IV</u></em>
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.
