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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 10: Q. 10.20 (page 1007)

Graph: $g (x) = 5^{x}$

Short Answer

Expert verified

The graph of $g (x) = 5^{x}$ is :

Step by step solution

01

Step 1. Given

The function $g (x) = 5^{x}$

To graph the given function.

02

Step 2. Find the points

Find the points of $g (x) = 5^{x}$

$x$	$g (x) = 5^{x}$	$(x, g (x))$
$- 2$	$5^{- 2} = \frac{1}{5^{2}}$ $= \frac{1}{25}$	$(- 2, \frac{1}{25})$
$- 1$	$5^{- 1} = \frac{1}{5}$	$(- 1, \frac{1}{5})$
$0$	$5^{0} = 1$	$(0, 1)$
$1$	$5^{1} = 5$	$(1, 5)$
$2$	$5^{2} = 25$	$(2, 25)$
$3$	$5^{3} = 125$	$(3, 125)$

03

Step 3. Plot the points in the graph

Plot the ordered pairs in the graph.

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Most popular questions from this chapter

Verify that the functions are inverse functions.

$f (x) = 2 x + 6$

$g (x) = \frac{x - 6}{2}$

In the following exercises, match the graphs to one of the following functions:

$鈸� 2^{x} 鈸� 2^{x + 1} 鈸� 2^{x 鈭� 1} 鈸� 2^{x} + 2 鈸� 2^{x} 鈭� 2 鈸� 3^{x}$

In the following exercises, find

a. $f 鈭� g (x)$

b. $g 鈭� f (x)$

c. $(f . g) (x)$

In the following exercises, graph each exponential function.

$g (x) = 7^{x}$

In the following exercises, solve each equation.

$4^{x + 2} = 64$

See all solutions

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