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
Does anyone know what 2/6 plus 1/8 is?
Kay [80]

Answer:

3/14

Step-by-step explanation:

hope this helps

7 0
3 years ago
the volume of a candle is 8 cubic inches . what is the volume of a similar candle that is larger by a scale factor of 1.5
Doss [256]
<span> <em>The volume of a candle is 8 cubic inches. What is the volume of a similar candle that is larger by a scale factor of 1.5</em> ? - 841748.</span>
3 0
3 years ago
Read 2 more answers
Find the slope of the line given the two points (2,7) and (2,-2).​
Black_prince [1.1K]

Answer:

The slope is zero.

Step-by-step explanation:

y2-y1/x2-x1

-2-7/2-2 = -9/0 = 0

8 0
3 years ago
Determine the surface area of this
Savatey [412]

Answer:

209.22cm²

Step-by-step explanation:

A=πrl+πr2

l=r2+h2

Solving forA

A=πr(r+h2+r2)=π·4·(4+122+42)≈209.21889cm²

3 0
2 years ago
Read 2 more answers
PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?
HACTEHA [7]
They are sim because there just are short bud I don’t know
5 0
3 years ago
Other questions:
  • I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.
    14·1 answer
  • Which relation is a function?
    8·1 answer
  • Expand the log as a sun or difference
    7·2 answers
  • Fill in the missing question.<br><br>5/8 + __ = 1
    11·2 answers
  • What's the answer to this.
    13·1 answer
  • What is the horizontal asymtote of f(x) = -2x/x+1​
    5·1 answer
  • Use 3.14 for pi and round to the nearest hundredth if necessary
    9·1 answer
  • A student examines a picture of an important biological molecule in a textbook and writes four statements about the molecule in
    14·1 answer
  • Find the area of the parallelogram 60ft 52ft 67ft​
    8·1 answer
  • Write an equation in slope-intercept form for the following line:<br><br> (-17,-4) and (-7,-13)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!