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

What is the end behavior of the graph of the exponential function f(x)=b^x when 0-example-1
User Meaghan
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2 Answers

2 votes

Answer:

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

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--->-∞

What is the end behavior of the graph of the exponential function f(x)=b^x when 0-example-1
User NiklasLehnfeld
by
8.1k points
1 vote

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.


What is the end behavior of the graph of the exponential function f(x)=b^x when 0-example-1
User Adriaan
by
8.0k points

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