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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.

User Adrenaxus
by
8.4k points

2 Answers

7 votes

Answer:

A.

The graph gets closer to the x-axis.

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

User Syarul
by
8.5k points
1 vote
The graph gets closer to the x-axis.
User Enrique Chavez
by
8.3k points

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