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]
1 year 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]1 year 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
What is the value of the 6 in the number 734,906,257 need fasttt
EastWind [94]

Answer:

6 thousands

Step-by-step explanation:

hope it helps

7 0
2 years ago
Read 2 more answers
Please help, quickly if possible
sleet_krkn [62]

Answer:

the first one because it has more flowers

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ? triangles WXZ and XYZ that share side XZ with right an
SVEN [57.7K]

Answer:

81

Step-by-step explanation:

6 over 12 equals 3 over 6 6 over 3 equals 6 over 12 6 over 6 equals 3 over 12 12 over 6 equals 3 over 6

4 0
2 years ago
Read 2 more answers
Which figure could be the result of dilating this rectangle with a scale factor between 0 and 1?
navik [9.2K]

Answer:

it's A. sorry for the late answer

7 0
2 years ago
Determine which property is demonstrated below;
aniked [119]

Answer:

  symmetric property

Step-by-step explanation:

The <em>symmetric property</em> is the one that tells you A=B means also B=A.

The obfuscating factor in this question is the renaming of angle SZW to angle WZS. Both names refer to the same angle.

3 0
3 years ago
Other questions:
  • Plz help me im begging u to help
    15·2 answers
  • What is the difference between 36.92 and 4.218?
    14·2 answers
  • Penny reads 14 pages in 1/2 hours what is the unit rate for pages per hour
    13·2 answers
  • Given that f(x) = x2 - 13 and g(x) = 5 - x, find (f-9)(10), if it exists.
    8·1 answer
  • 2 (t+5) &gt; 4t-7 (t+3)
    12·2 answers
  • (-2,1); perpendicular to y= - 2/5x -4<br><br> Help explain step by step?
    15·1 answer
  • 1) math need help ASAP thank you :) slope and y-intercept
    11·1 answer
  • if there are 20 questions on a test and I get 45% on the test how much is each question worth percent wise?? using numbers and t
    12·2 answers
  • What is the coefficient of the second term of the polynomial? (In other words, what is B?
    11·1 answer
  • Fran buys a shrub that has 12 branches. The shrub will grow 4 new branches everymonth. Use an equation to determine the total nu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!