1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nikdorinn [45]
3 years ago
5

Make a table with the domain of {2,3,4,5,6} and draw a graph of the absolute value function y = 2|x-4| + 3.

Mathematics
2 answers:
Basile [38]3 years ago
7 0

Answer:

Table for y = 2|x-4| + 3 on domain {2,3,4,5,6} is given as:

x                           y

2         2|x-4| + 3 = 2|2-4| + 3 = 7

3         2|x-4| + 3 = 2|3-4| + 3 = 5

4         2|x-4| + 3 = 2|4-4| + 3 = 3

5         2|x-4| + 3 = 2|5-4| + 3 = 5

6         2|x-4| + 3 = 2|6-4| + 3 = 7

The graph of the absolute value function y = 2|x-4| + 3 for the given domain is attached.

Step-by-step explanation:

The absolute value parent function, written as function(x) = | x |, is defined as:

|x| = x          and           |-x| = x

In our case;

For x = 2        

y = 2|x-4| + 3

= 2|2-4| + 3

= 2|-2| + 3

= 2*2 + 3

= 4 + 3

= 7

Similarly, for all other values of x in the given domain, value of y can be calculated.

Jet001 [13]3 years ago
5 0

Answer:

<h2>In the attachment.</h2>

Step-by-step explanation:

|a|=\left\{\begin{array}{ccc}a&for\ a\geq0\\-a&for\ a

Put each value of x from the set {2, 3, 4, 5, 6}

to the equation y = 2|x - 4| + 3:

x = 2 → y = 2|2 - 4| + 3 = 2|-2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (2, 7)

x = 3 → y = 2|3 - 4| + 3 = 2|-1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (3, 5)

x = 4 → y = 2|4 - 4| + 3 = 2|0| + 3 = 2(0) + 3 = 0 + 3 = 3 → (4, 3)

x = 5 → y = 2|5 - 4| + 3 = 2|1| + 3 = 2(1) + 3 = 2 + 3 = 5 → (5, 5)

x = 6 → y = 2|6 - 4| + 3 = 2|2| + 3 = 2(2) + 3 = 4 + 3 = 7 → (6, 7)

Mark the points in the coordinates system.

The domain is only five numbers, therefore the graph of this function is only five points.

You might be interested in
Five years ago the population of the UK was 64.1 million. It has grown by 400 000. What is the population of the UK now?
telo118 [61]
64.5 million add 64100000+ 400000
4 0
3 years ago
Read 2 more answers
A lawn had an area of 35 square ft. If it was 7 feet width, how long id it?
Llana [10]
It is 5 feet long. 35 divided by 7 is 5.
5 0
3 years ago
Read 2 more answers
Factor and simplify 8cos^2x+cosx-9
KonstantinChe [14]
HELLO DEAR,




GIVEN:-
8cos²x + cosx - 9

8cos²x + 9cosx - 8cosx - 9

cosx(8cosx + 9) - (8cosx + 9)

(cosx - 1)(8cosx + 9)


I HOPE ITS HELP YOU DEAR,
THANKS
3 0
3 years ago
3. Solve this inequality: 3b-7&lt;32<br> O<br> A.b&lt;39<br> B.b&lt;5<br> C.b&lt; 13<br> D.b&lt;8.33
pentagon [3]

Answer:

C.b< 13

Step-by-step explanation:

3b-7<32

Add 7 to each side

3b-7+7<32+7

3b < 39

Divide each side by 3

3b< 39/3

b < 13

7 0
3 years ago
I seriously have no idea how to do these, plz help :(
Vesna [10]

Answer:

1.)0.45

2.)0.6w

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • The table below represents the displacement of a bird from its nest as a function of time: time (hours) x displacement from nest
    7·1 answer
  • (b) If the pill is to contain 1,000 milligrams of vitamin C, then how much vitamin C does the pill contain per
    10·1 answer
  • Identify the y intercept and asymtote for the exponential function f(x)=3^x+2
    14·1 answer
  • How are corresponding side lengths of two similar figures related
    12·1 answer
  • Construct a triangle ABC where BC =4cm ,B=60° and AB+AC=6cm
    7·1 answer
  • F(x) = x2 – x-1<br> What is the average rate of change of f over the interval -1 &lt; x &lt; 1?
    8·2 answers
  • Find the area.
    7·1 answer
  • Order the numbers from least to greatest.<br><br> 2.1,−610,−94,−0.75, 53
    9·2 answers
  • Can yall tell me what B is? b-7/4=-2/3
    10·1 answer
  • Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the l
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!