Question

What is the end behavior of the graph of the exponential function f(x)=b^x when 0

Answer 1

The diagram shows the graph of the function $f(x)=b^x.$

This graph is increasing, when b>1 and decreasing, when 0<b<1.

From this graph (in case 0<b<1) you can see that

• $f(x)\to \infty,$ when $x\to -\infty;$
• $f(x)\to 0,$ when $x\to \infty.$

Answer: correct option B.

Answer 2

Answer:

b)f(x) -->0, when x --->∞ and f(x)--->∞, when x--->-∞

Step-by-step explanation:

First let's draw the graph.

Here f(x) = b^x, when 0 < b < 1

Here b greater than zero and less than 1.

Therefore, b must be number which is less 1 and greater 0.

Let's take b = 1/2 and the function becomes f(x) = (1/2)^x

Now let's draw the graph to find the answer.

In the graph,

f(x) -->0, when x --->∞ and f(x)--->∞, when x--->-∞

Therefore, answer is b)f(x) -->0, when x --->∞ and f(x)--->∞, when x--->-∞