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
hichkok12 [17]
3 years ago
14

Piece function:

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

First, make the table so you can sketch the graph:

    x   |    y

    5  |   20        

    4  |    9              x² - 5   ; x > 3

 <u>   3  |    </u><u>4 </u><u>  </u><u><em>(open dot)                      </em></u><em>   ⇒ </em>from the right

  <u>  3  |    </u><u>5</u><u>                  5     ; x = 3       </u>   ⇒ at x = 3

    3  |    2  <em>(open dot)                          ⇒ </em>from the left

    2  |    4              -2x + 8  ; x < 3          

<u>     1   |    6                                           </u>


Next, look at the graph (or table) to find the limits:

lim 3⁺ = 4  <em>as x approaches 3 from the right, y approaches 4</em>

lim 3⁻ = 2  <em>as x approaches 3 from the left, y approaches 2</em>

lim 3 = DNE <em>lim 3⁺ ≠ lim 3⁻ so the limit does not exist</em>

f(3) = 5  <em>when x = 3, y = 5</em>

f(x) is NOT continuous at x = 3 <em>because lim 3 ≠ f(3)</em>

You might be interested in
2.2x + 4.4 factor coefficient of the variable
Marianna [84]
2(1.1x+2.2) this is a way to make the factorization
3 0
3 years ago
What is the value of x
motikmotik

Answer:

x = 4

Step-by-step explanation:

<u>All triangles add up to 180 degrees</u>

76 + 17x + 9x = 180

76 + 17x + 9x - 76 = 180 - 76

26x / 26 = 104 / 26

x = 4

Answer:  x = 4

3 0
3 years ago
What are square roots?
nataly862011 [7]
Square roots are the result of multiplying the number by itself for example take 5x5 = 25 that’s a result of a number when multiplying by itself.
6 0
3 years ago
Read 2 more answers
20+4*4 what the answer
schepotkina [342]

Answer: 36

hope it helped!

3 0
3 years ago
Read 2 more answers
Please help due today
fredd [130]

Answer:

it is the 3rd one

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Find the equation of the line passing
    5·1 answer
  • "The product of 4 and a number plus 17 is 5"<br> -translate and solve
    15·1 answer
  • How to find 60% of 38
    9·2 answers
  • Multiply and divide. product or quotient
    11·2 answers
  • Explain how comparing 645 and 738 is different from 645 and649
    8·1 answer
  • HELLPP MEE PLEAASSEEE!!????
    5·2 answers
  • What is 10 to the fourth power simplified as
    15·1 answer
  • Pls help me pls pls pls pls pls
    10·2 answers
  • An electronics store receives shipments containing 500 batteries each.
    5·1 answer
  • 3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!