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
dalvyx [7]
2 years ago
5

find the numbers at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither.

Mathematics
1 answer:
sladkih [1.3K]2 years ago
4 0

Where the function f is discontinuous  and continuous  is  mathematically given as

  • f(x) is not continuous at x = 0.
  • f(x) is left continuous at x = 1
  • f(x) is right continuous for all x =5

<h3>What are the numbers at which f is discontinuous or continuous?</h3>

Generally, the equation for is  mathematically given as

Since x+1, 1/x, and (x-5), the function does not "break" since these three terms are continuous. at

  • x = 1
  • x = 5.

According to the dictionary definition of continuity, the function f(x) is continuous at x = a if:

lim (x->a-) f(x) = lim (x->a+) f(x) = f(a).

for x = 0

lim (x->0-) f(x)

= lim (x->0-) (x+1),

since f(x) = x+1 for x \leq 1

f(x<=1) = 1 + 0

f(x<=1)= 1

lim (x->0+) f(x)= lim (x-->0+) ( √(x-5) ), since f(x)

lim (x->0+) f(x)= √(x-5 for x>=5

lim (x->0+) f(x)= 5

In conclusion,

  • f(x) is not continuous at x = 0.
  • f(x) is left continuous at x = 1
  • f(x) is right continuous for all x =5

Read more about discontinuous

brainly.com/question/12644479

#SPJ4

Complete Question

Find the numbers at which f is discontinuous. Then determine whether f is continuous from the right, from the left, or neither at each point of discontinuity.

f(x)={ x+1 if x< 1

1/x if 1<x<5

√(x-5) if x> 5

You might be interested in
Which is the domain of y=10-2x^
liberstina [14]
Y=10x

hope this helped, have a good day
8 0
3 years ago
The sum of x and 15 please help
Anna007 [38]

Answer:

the sum of x and 15 is -16 because it is a straight line which means the straight line is a function.

4 0
3 years ago
Amanda's computer weighs 56 ounces. how many pounds does it weigh?
vampirchik [111]
56 ounces are 3.5 pounds because 16 ounces are 1 pound and if you divide 56 by 16 you get 3.5
7 0
3 years ago
Read 2 more answers
Andy ate three doughnuts less than Chad. Together, they ate 21 doughnuts. How many doughnuts did Andy eat?
natita [175]

Answer:

Andy ate 9 doughnuts because 21-9=12

12-9=3.

3 0
3 years ago
Can someone help with these 3?
adell [148]
1) 5 +8i
2) 11+2i
3) 6i sqrt(2)
4 0
3 years ago
Other questions:
  • Find the product of 28 and 4. ONLY type in the number.
    7·1 answer
  • -1/2x-3=4 what is X<br>​
    10·2 answers
  • Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
    7·1 answer
  • Which of the following graphs represents the set of numbers given below?
    10·2 answers
  • Can you please help me?​
    12·1 answer
  • The graph of y=-3x + 2 is:
    14·1 answer
  • Adam can eat
    14·1 answer
  • Please round to nearest hundredth and give explanation.
    7·1 answer
  • The u.s. produces 5.39x 10​
    10·2 answers
  • PLSSS HELP HURRRYYYYY (100 POINTS ) CLICK ON THE PICTURE
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!