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
g100num [7]
3 years ago
14

The graph represents the piecewise function

Mathematics
2 answers:
tester [92]3 years ago
6 0
<h2>Answer:</h2>

Hence, we have:

        f(x)= 2x-1   when  x ≤ -1

                x+4    when  x ≥ 1

<h2>Step-by-step explanation:</h2>
  • After looking at the graph we observe that in the region:  x ≤ -1

The graph is a straight line that passes through (-1,-3) and (-2,-5)

Hence, the equation of line is:

f(x)-(-3)=\dfrac{-5-(-3)}{-2-(-1)}\times (x-(-1))\\\\\\f(x)+3=\dfrac{-5+3}{-2+1}\times (x+1)\\\\\\f(x)+3=2(x+1)\\\\\\f(x)=2x+2-3\\\\\\f(x)=2x-1

  • Also, in the interval  x ≥ 1

The graph is a straight line that passes through (1,5) and (2,6)

Hence, the equation of line is:

 f(x)-5=\dfrac{6-5}{2-1}\times (x-1)\\\\\\f(x)-5=x-1\\\\\\f(x)=x-1+5\\\\\\f(x)=x+4

svlad2 [7]3 years ago
3 0
Left equatoin seems to be x is less than or equal to -1
the slope seems to be 2 and y intercep tis -1 so 2x-1


right equation is x is greater than or equal to 1
slope is 1 and y intercept is 4 so x+4




top left blank is x+4, top right blank is x is greater than or equal to 1
bottom left blank is 2x-1, bottom right blank is x is less than or equal to -1
You might be interested in
Angela has 63 eggplants in 21 rows of her eggplant garden.
Lorico [155]

Answer:

A. 27

Step-by-step explanation:

21 x 3 = 63

9 x 3 = 27

6 0
3 years ago
For which situation is the use of exact numbers most appropriate? A) buying gravel to cover a driveway B) ordering cupcakes for
tiny-mole [99]
C) Ordering Corn dogs to sell in the concession stand at a football game.
3 0
3 years ago
A field is in the shape of a rectangle 5/6 mile long and 3/4 mile wide. What is the area of the field? *
Lynna [10]

Area = length x width

Area = 5/6 x 3/4

= (5x3) / (6x4)

= 15/24

= 5/8 square miles

7 0
3 years ago
If one angle of a triangle is 90°, then the other two add to 90°. <br> Write the To Prove statement
hram777 [196]
So a triangle is always 180°.
If one angle is 90° then we can subtract that from the 180° to find out how much the other two will be.
180°-90°=90°
So the other two angles added together will have to equal 90°.
5 0
3 years ago
Can someone please help me and fast I'm stuck
vovikov84 [41]

Answer:

3 5/8

Step-by-step explanation:

6 4/8 - 2 7/8 = 4 -3/8 = 3 5/8

8 0
2 years ago
Read 2 more answers
Other questions:
  • tanya, will, and juan are playing a gane. juan scores 101473 points. tanya scores 9,879 fewer points than juan.will scores 9853
    13·1 answer
  • Imagine that you have 5 blue socks and 5 brown socks in a drawer that are not paired up. How many socks must you take out from t
    14·1 answer
  • Which statments are true about the ordered pair (-1 -4) (-1 -4) and the system of equations
    11·1 answer
  • What is 271,000 rounded tothe nearest hunded thousand
    15·2 answers
  • Can you find the mean for these two questions:
    13·2 answers
  • Liams entire school is traveling by bus to the new aquarium there are 665 boys and 473 girls in liams school if each bus can hol
    15·2 answers
  • What is the slope for these 2 <br> equations: y=-8x-5/4 and y=1/8 + 4/5
    10·2 answers
  • Cindy drives her car 25 miles from her workplace to her home. The trip takes 1/2 hour. What is her unit rate in miles per hour?
    14·1 answer
  • 12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
    9·2 answers
  • Need help with problem 5, Thank you!<br><br><br> Sorry for the glare
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!