Chapter 10: Q. 109 (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 $(f) 3^{x}$

Step by step solution

Step 1. Given

The graph is

Step 2. Find the function which matches the graph

From the graph it is very clear that the graph is of an increasing exponential function, so standard form of function is

$f (x) = a^{x} (a > 1)$

From the graph, it is very clear that $(1, 3)$ lies on the graph.

$f (x) = a^{x} 3 = a^{1} 3 = a$

So, the function is $f (x) = 3^{x}$

Therefore, the correct match is $(f) 3^{x}$

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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

Step 2. Find the function which matches the graph

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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

Step 2. Find the function which matches the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Logic and Functions

Applied Mathematics

Decision Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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