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
ValentinkaMS [17]
2 years ago
6

Find the range of the following piecewise function.

Mathematics
1 answer:
mash [69]2 years ago
6 0

Answer:

\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

y=3x-2\ \text{if}\ -1\leq x

Substitute x =-1 and x = 0:

x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2

Range of this piece is [-5; -2)

y=2x+3\ \text{if}\ 0\leq x

Substitute x =0and x = 5:

x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

[-5;\ -2)\ \cup\ [3;\ 13)

Look at the picture.

You might be interested in
Help please i need help with my homework​
Sedbober [7]

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

3 ( x ) + 55 = 85

Answer To Solving Y:

Let's solve your equation step-by-step.

3x + 55 = 85

Step 1: Subtract 55 from both sides.

3x + 55 − 55 = 85 − 55

3x = 30

Step 2: Divide both sides by 3.

3x / 3 = 30 / 3

x = 10

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer To The Angle:

( 3 ) ( 10 ) + 55 = 85

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

2 ( y ) - 5 = 95

Answer:

Let's solve your equation step-by-step.

2y − 5 = 95

Step 1: Add 5 to both sides.

2y − 5 + 5 = 95 + 5

2y = 100

Step 2: Divide both sides by 2.

2y / 2 = 100 / 2

y = 50

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer To The Angle:

( 2 ) ( 50 ) − 5 = 95

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Please don't come at me if I am wrong.....:\

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

But, the anwer should be 180 degrees

8 0
2 years ago
What number is x if the equation is 2x-7=3
Elanso [62]

Hello there!

2x - 7 = 3

Solve for x

2x = 3 + 7

2x = 10

x = 10/2

x = 5

Therefore, the number of x in the equation is 5

Let me know if you have additional question!

8 0
3 years ago
Choose the number line of the solution to this inequality. c - 12 ≥ -16
MissTica

Answer: Yes

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How do you find the slope equation of x+4y=16
tankabanditka [31]

x+4y=16

4y= -x +16

y = -1/4x + 4


so slope = -1/4

5 0
3 years ago
IN A CLASS OF 40 STUDENTS, 25 PASSED THE TEST CONDUCTED BY THE CLASS TEACHER.WHAT PERCENTAGE OF STUDENTS FAILED?​
Liono4ka [1.6K]

Answer:

45%

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Factor 3n^3-6n^2+4n-8
    8·2 answers
  • What is y= -4 7x -7y =-21
    10·1 answer
  • Helppp please it may be simple for u!
    15·1 answer
  • PLSS HELPPPP(10 points)
    13·1 answer
  • I need helpppp, I need to turn this in before class is over
    10·2 answers
  • 4 1/4 + 1 2/3 equals​
    9·1 answer
  • A fly-fishing line is cast in a parabolic motion with an initial velocity of 30 meters per second at an angle of 60° to the hori
    9·2 answers
  • Write the equation of the line fully simplified slope-intercept form.
    7·1 answer
  • HELP ME PLEASE ASAP ASAP
    11·1 answer
  • Need an an answer fast 100 points to the first person with the correct answer pogg
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!