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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. 10.21 (page 1009)

Graph: $f (x) = {(\frac{1}{4})}^{x}$

Short Answer

Expert verified

The graph of $f (x) = {(\frac{1}{4})}^{x}$ is :

Step by step solution

01

Step 1. Given

The function $f (x) = {(\frac{1}{4})}^{x}$

To graph the given function.

02

Step 2. Find the points

Find the points of $f (x) = {(\frac{1}{4})}^{x}$

$x$	$f (x) = {(\frac{1}{4})}^{x}$	$(x, f (x))$
$- 2$	${(\frac{1}{4})}^{- 2} = 4^{2}$ $= 16$	$(- 2, 16)$
$- 1$	${(\frac{1}{4})}^{- 1} = 4$	$(- 1, 4)$
$0$	${(\frac{1}{4})}^{0} = 1$	$(0, 1)$
$1$	${(\frac{1}{4})}^{1} = \frac{1}{4}$	$(1, \frac{1}{4})$
$2$	${(\frac{1}{4})}^{2} = \frac{1}{16}$	$(2, \frac{1}{16})$

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

In the following exercises, graph each function in the same coordinate system:

$f (x) = 2^{x}, g (x) = 2^{x + 2}$

In the following exercises, solve each logarithmic equation $y = \log_{0.4} x$

In the following exercises, find the inverse of each function.

$f (x) = 9 x$

In the following exercises, graph each exponential function:

$f (x) = 3^{x + 2}$

In the following exercises, find the inverse of each function.

$f (x) = 6 x - 7$

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