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Answered

For an exponential function in the form of y=ab^x, if b is between 0 and 1, what happens to the graph of the function as x increases?

A.

The graph gets closer to the x-axis.

B.

The graph gets closer to the y-axis.

C.

The graph curves up away from the x-axis.

D.

The graph curves down away from the x-axis.

Verified Answer :

nobillionaireNobley

The graph gets closer to the x-axis.

Answer:

A.

The graph gets closer to the x-axis.

Step-by-step explanation:

We are given an exponential function:

\(y= ab^x\)

Now we know that if a number lies between 0 and 1 and as we keep on increasing its power the number goes on decreasing and ultimately it tends to zero

Here, b lies between 0 and 1 so, as we keep on increasing the power of b it will tend to zero

i.e. \(b^x\) tends to zero

Hence, \(y=ab^x\) tends to zero

i.e.  The graph gets closer to the x-axis.

Hence, A is the correct option

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