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
Juli2301 [7.4K]
3 years ago
8

A piecewise function g(x) is represented by the graph. On a coordinate plane, a piecewise function has 3 lines. The first line h

as an open circle at (negative 2, negative 2) and it continues horizontally to (negative 5, negative 2). The second line has a closed circle at (negative 2, 0) and then continues up to an open circle at (1, 1.5). The third line has a closed circle at (1, 4) and continues down to (5, negative 4). Which functions represent a piece of the function? Select three options. g(x) = −2x, −2 < x < 0 g(x) = −2, x < −2 g(x) = x − 2, −2 < x < 1 g(x) = −2x + 6, x ≥ 1 g(x) = + 1, –2 ≤ x < 1
Mathematics
1 answer:
fenix001 [56]3 years ago
5 0

Answer:

see the explanation

Step-by-step explanation:

Find out the equation of each line of the piece wise

<em>First line</em>

The first line has an open circle at (negative 2, negative 2) and it continues horizontally to an open circle (negative 5, negative 2)

(-2,-2) to (-5,-2)

g(x)=-2

-5 < x < -2

<em>Second line</em>

The second line has a closed circle at (negative 2, 0) and then continues up to an open circle at (1, 1.5)

[-2,0] to (1,1.5)

<u><em>Find the slope</em></u>

m=(1.5-0)/(1+2)=0.5

<u><em>Equation in point slope form</em></u>

y-y1=m(x-x1)

we have

m=0.5

point (-2,0)

substitute

y-0=0.5(x+2)

<u><em>Convert to slope intercept form</em></u>

y=0.5x+1

so

g(x)=0.5x+1

-2 \leq x < 1

<em>Third line</em>

The third line has a closed circle at (1, 4) and continues down to open circle (5, negative 4). Which functions represent a piece of the function?

[1,4] to (5,-4)

The equation of the line is

g(x)=-2x+6  ---> Repeat all steps that in second line

1 \leq x < 5

therefore

The piece wise function is equal to

g(x)=-2 ----> -5 < x < -2

g(x)=0.5x+1 ----> -2 \leq x < 1

g(x)=-2x+6  ---> 1 \leq x < 5

You might be interested in
Help,Cause homework is hard :/
Nutka1998 [239]
Hey there!

In my opinion, yes, because there are many reasons for this answer. But one reason is that when you get older, you'll be using 3.14 more than 22/7 because you don't really use fractions anymore, you use decimals.

^^That's my opinion, you might have something different^^

Hope this helps!
6 0
3 years ago
How do I find the missing sides in the triangle?
irinina [24]

Answer:

x=14   y=10

Step-by-step explanation:

4 0
3 years ago
Today is the birthday of Rahul and he is 3 times
Marat540 [252]

Answer:

b. 36 years

Step-by-step explanation:

Today

Nirmala = x years

Rahul = 3x years

In 13 years

Nirmala = 3x + 13 years

Rahul = 2(x+13) - 1

3x + 13 = 2(x+13) - 1

3x + 13 = 2x + 26 - 1

3x + 13 = 2x + 25

3x - 2x = 25 - 13

x = 12

Nirmala = x years

= 12 years

Rahul = 3x years

= 3(12)

= 36 years

The age of Rahul today is 36 years

5 0
3 years ago
A piece of fabric costs $5.29 a yard which is estimated cost of 16.3 yards of fabric
Cloud [144]

Answer:

your estimate would be $86.22

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
5(12-4)=5(12)-5(4) what is this property
kherson [118]

Answer:

distributive property

Step-by-step explanation:

The distributive property is described as

a(b + c) = ab + ac

5(12 - 4) = 5(12) - 5(4) ← is obtained using the distributive property

6 0
2 years ago
Other questions:
  • An example of dependent events is drawing a red marble out of one jar and then drawing a
    10·1 answer
  • PLEASE HELP I HAVE NO IDEA
    8·2 answers
  • A town’s population of children increased from 376 to 421 during the past year.
    9·1 answer
  • Can somebody help me with this question
    12·1 answer
  • the perimeter of a rectangle is 92m. the length is 10m more than twice the width. find the dimensions
    11·1 answer
  •  help please with these 2 !!!! i’ll give brainliest !
    12·2 answers
  • Please help me asap (geometry)
    13·1 answer
  • Find the perimeter and area of the following parallelogram.
    14·1 answer
  • Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational d
    12·1 answer
  • What is the end behavior of the graph of f(x) = – 0.5x^2 – 3x – 4?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!