Q 375. a) Graph each function. b) State... [FREE SOLUTION]

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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 3: Q 375. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = | x | + 1$

Short Answer

Expert verified

Domain of the function is $(- 鈭�, 鈭�)$ and range of the function is $[1, 鈭�) .$

Step by step solution

Step 1. Given information

Given function is $f (x) = | x | + 1$

Step 2. Formation of ordered pairs

Its not a linear function. The table can be formed using different x-values. The ordered pairs can be formed by plot and connect to form graph.

$x$	$y = f (x)$	$(x, y)$
$0$	$y = \| 0 \| + 1 鈫� y = 1$	$(0, 1)$
$- 1$	$y = \| - 1 \| + 1 鈫� y = 2$	$(- 1, 2)$
$1$	$y = \| 1 \| + 1 鈫� y = 2$	$(1, 2)$
$- 2$	$y = \| - 2 \| + 1 鈫� y = 3$	$(- 2, 3)$
$2$	$y = \| 2 \| + 1 鈫� y = 3$	$(2, 3)$

Step 3. Graph of the function

The graph can be drawn as,

Step 4. Domain and range

The given function is absolute value function and defined by all real values. Domain of the function is $(- 鈭�, 鈭�) .$ It represents all values of y, which is greater than or equal to zero. Range of the function is $[1, 鈭�) .$

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91影视

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = | x | + 1$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and range

One App. One Place for Learning.

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91影视

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.f(x)=|x|+1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Calculus

Applied Mathematics

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = | x | + 1$