Chapter 10: Q. 111 (page 1019)

In the following exercises, match the graphs to one of the following functions:
$ⓐ 2^{x} ⓑ 2^{x + 1} ⓒ 2^{x - 1} ⓓ 2^{x} + 2 ⓔ 2^{x} - 2 ⓕ 3^{x}$

Short Answer

Expert verified

The correct match is, $(a) 2^{x}$ .

Step by step solution

Step 1 Given functions are,

$ⓐ 2^{x} ⓑ 2^{x + 1} ⓒ 2^{x - 1} ⓓ 2^{x} + 2 ⓔ 2^{x} - 2 ⓕ 3^{x}$

The given graph is,

The objective is, we need to find the function which should matches with the given graph.

Step 2 From the graph it is clear that the graph is of an increasing function.

So, the standard form of the function is, $f (x) = a^{x} [a > 1]$

From the graph it is very clear that the point $(1, 2)$ is on the graph.

So, $2 = a^{1} a = 2$

We know that $f (x) = a^{x}$ .

So, $f (x) = 2^{x}$ .

So, the correct match is, $(a) 2^{x}$ .

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In the following exercises, match the graphs to one of the following functions:
$ⓐ 2^{x} ⓑ 2^{x + 1} ⓒ 2^{x - 1} ⓓ 2^{x} + 2 ⓔ 2^{x} - 2 ⓕ 3^{x}$

Short Answer

Step by step solution

Step 1 Given functions are,

Step 2 From the graph it is clear that the graph is of an increasing function.

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In the following exercises, match the graphs to one of the following functions:ⓐ2xⓑ2x+1ⓒ2x-1ⓓ2x+2ⓔ2x−2ⓕ3x

Short Answer

Step by step solution

Step 1 Given functions are,

Step 2 From the graph it is clear that the graph is of an increasing function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, match the graphs to one of the following functions:
$ⓐ 2^{x} ⓑ 2^{x + 1} ⓒ 2^{x - 1} ⓓ 2^{x} + 2 ⓔ 2^{x} - 2 ⓕ 3^{x}$