Q 370. 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 370. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = - \sqrt{2} x$

Short Answer

Expert verified

Domain of the function is $[0, 鈭�) .$ Range of the function is $(- 鈭�, 0] .$

Step by step solution

Step 1. Given Information

Given function is $f (x) = - \sqrt{2} x$

Step 2. Formation of ordered pairs

Its not a linear function. The table ca be created with different x-values. The graph can be created by plot and connecting the points.

$x$	$y = f (x)$	$(x, y)$
$0$	$y = - 2 \sqrt{0} 鈫� y = 0$	$(0, 0)$
$4$	$y = - 2 \sqrt{4} 鈫� y = - 4$	$(4, - 4)$
$9$	$y = - 2 \sqrt{9} 鈫� y = - 6$	$(9, - 6)$
$1$	$y = - 2 \sqrt{1} 鈫� y = - 2$	$(1, - 2)$

Step 3. Graph of the function

The graph can be drawn as,

Step 4. Domain and range

Given function is a square root function, domain of square root function is value set at argument is non-zero. Domain of the function is $[0, 鈭�) .$ Given function is square root function whose graph has y-negative values, range is all real numbers which is equal to or less than zero. Range of the function is $(- 鈭�, 0] .$

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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.
$f (x) = - \sqrt{2} x$

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)=-2x

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

Statistics

Calculus

Applied Mathematics

Pure Maths

Logic and Functions

Mechanics 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.
$f (x) = - \sqrt{2} x$