Q. 23 Sketch the graph of each functio... [FREE SOLUTION]

91影视

Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 2: Q. 23 (page 100)

Sketch the graph of each function. Be sure to label three points on the graph.
$f (x) = \sqrt[3]{x}$ .

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information.

The given function is,

$f (x) = \sqrt[3]{x}$ .

Step 2. Finding the symmetry.

Now substituting $x = - x$ in the given function then,

$f (- x) = \sqrt[3]{- x} = - \sqrt[3]{x} = - f (x)$

Therefore, the function is an odd function and symmetric with respect to the origin.

Step 3. Finding the intercepts.

On substituting $x = 0$ , the $y$ -intercept will be

$f (0) = \sqrt[3]{0} = 0$

Then the $y$ -intercept is $(0, 0)$ .

On substituting $f (x) = 0$ , the $x$ -intercept will be

$f (x) = 0 \sqrt[3]{x} = 0 x = 0$

Then the $x$ -intercept is $(0, 0)$ .

Step 4. Finding the ordered pairs.

Using the point plotting method we get,

$x$	$y = f (x) = \sqrt[3]{x}$	$(x, y)$
$- 1$	$y = \sqrt[3]{- 1} = - 1$	$(- 1, - 1)$
$0$	$y = \sqrt[3]{0} = 0$	$(0, 0)$
$1$	$y = \sqrt[3]{1} = 1$	$(1, 1)$

Step 5. Plotting the points on a graph.

The graph is

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91影视

Sketch the graph of each function. Be sure to label three points on the graph.
$f (x) = \sqrt[3]{x}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the symmetry.

Step 3. Finding the intercepts.

Step 4. Finding the ordered pairs.

Step 5. Plotting the points on a graph.

One App. One Place for Learning.

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91影视

Sketch the graph of each function. Be sure to label three points on the graph.f(x)=x3.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Finding the symmetry.

Step 3. Finding the intercepts.

Step 4. Finding the ordered pairs.

Step 5. Plotting the points on a graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

Sketch the graph of each function. Be sure to label three points on the graph.
$f (x) = \sqrt[3]{x}$ .