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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 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

Convert each logarithmic equation to exponential form:

$4 = \log_{x} (81)$ .

In the following exercises, find the inverse of each function. Determine the domain and range of the inverse function.
$\{(5, 3), (4, 2), (3, 1), (2, 0)\}$ .

Convert from exponential to logarithmic form:

$10^{- 2} = \frac{1}{100}$ .

For functions $f (x) = x^{2} - 9$ and

$g (x) = 2 x + 5$ , find

$(f \circ g) (- 2)$
$(g \circ f) (- 3)$
$(f \circ f) (4)$

In the following exercises, graph, on the same coordinate system, the inverse of the one-to-one function shown.

See all solutions

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