Chapter 10: Q. 10.24 (page 1011)

On the same coordinate system, graph:
$f (x) = 3^{x}$
$g (x) = 3^{x + 1}$

Short Answer

Expert verified

The graph of $f (x) = 3^{x}$ and

$g (x) = 3^{x + 1}$ on the same coordinate axis is:

Step by step solution

Step 1. Given

The function $f (x) = 3^{x} g (x) = 3^{x + 1}$

To graph the given function on the same coordinate axes.

Step 2. Table of points for the function f(x)

Find the points for the function $f (x) = 3^{x}$

$x$	$f (x) = 3^{x}$	$(x, f (x))$
$- 2$	$3^{- 2} = \frac{1}{9}$	$(- 2, \frac{1}{9})$
$- 1$	$3^{- 1} = \frac{1}{3}$	$(- 1, \frac{1}{3})$
$0$	$3^{0} = 1$	$(0, 1)$
$1$	$3^{1} = 3$	$(1, 3)$
$2$	$3^{2} = 9$	$(2, 9)$

Step 3. Plot the points in the graph

Plot the obtained points in the graph.

Step 4. Table of points for the function g(x)

Find the points for the function $g (x) = 3^{x + 1}$

$x$	$g (x) = 3^{x + 1}$	$(x, g (x))$
$- 2$	$3^{- 2 + 1} = \frac{1}{3}$	$(- 2, \frac{1}{3})$
$- 1$	$3^{- 1 + 1} = 1$	$(- 1, 1)$
$0$	$3^{0 + 1} = 3$	$(0, 3)$
$1$	$3^{1 + 1} = 9$	$(1, 9)$
$2$	$3^{2 + 1} = 27$	$(2, 27)$

Step 5. Plot the points in the graph

Plot the obtained points in the graph.

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On the same coordinate system, graph:
$f (x) = 3^{x}$
$g (x) = 3^{x + 1}$

Short Answer

Step by step solution

Step 1. Given

Step 2. Table of points for the function f(x)

Step 3. Plot the points in the graph

Step 4. Table of points for the function g(x)

Step 5. Plot the points in the graph

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On the same coordinate system, graph:f(x)=3xg(x)=3x+1

Short Answer

Step by step solution

Step 1. Given

Step 2. Table of points for the function f(x)

Step 3. Plot the points in the graph

Step 4. Table of points for the function g(x)

Step 5. Plot the points in the graph

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

On the same coordinate system, graph:
$f (x) = 3^{x}$
$g (x) = 3^{x + 1}$