What is the domain and range of f(x) = |x + 6|?

Mathematics

2 answers:

GrogVix [38]4 years ago

8 0

Answer:

domain: (negative infinite,infinite); range: f(x) (greater than or equal to $0$

Step-by-step explanation:

we have

$f\left(x\right)=\left|x+6\right|$

The vertex of the function is the point $(-6,0)$

The domain is the interval--------> (-∞,∞)

The domain is all real numbers

The range is the interval ------> [0,∞)

$f(x)\geq 0$

The range is all real numbers greater than or equal to zero

To better understand the problem see the attached figure

Darya [45]4 years ago

4 0

X can be any real value so domain is (-INF, INF) . The range can be 0 or greater than zero because it is an absolute function.

The first choice is the correct one.

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There are 5 green, 1 red, and 1 blue book on the shelf. How many ways can they be arranged if the red and blue book are separate

zloy xaker [14]

Answer:

3,600

Step-by-step explanation:

There are 5 green, 1 red, and 1 blue book on the shelf, 7 books in total.

First, count the number of ways when the red and the blue books are not separated. If these books are not separated, you can count them as one book, so there are 6 books in total which can be arranged in

$6!=1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6=720$

different ways.

But red and blue books can be rearranged in two ways: blue, red or red, blue, so the number of ways books can be arranged if the red and blue book are not separated is

$2\cdot 720=1,440.$