How do you check continuity of a function?

Answers

Answer 1

Continuity of a function can be checked by examining the limits of the function as x approaches a certain value and ensuring the function's output is equal to the value of the function at that point.

Continuity of a function is an important concept in calculus and other branches of mathematics. In order to check the continuity of a function, the limits of the function must be examined as x approaches a certain value. This means that the left-hand limit and the right-hand limit must be equal. If the limits are equal, then the function is continuous at that point. If the limits are not equal, then the function is not continuous at that point. Additionally, the value of the function at that point must also be equal to the limits in order for the function to be continuous. If the function is discontinuous at any point, then it is not considered continuous. Continuity is necessary for certain properties of functions, such as derivatives and integrals, to be defined.

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Related Questions

Find the value of x.

Answers

x=74°

look at the given picture for stepwise

Which of the following best describes the shape of the
distribution?
A) skewed to the left
B) bimodal symmetric
C) skewed to the right
D) unimodal symmetric

Answers

Is a) skewed to the left

The shape of the data distribution in the dot plot is: A. skewed to the left.

What is a Left-Skewed Data Distribution?

A data distribution that is left-skew will have the longest tail at your far left, compared to your right.

The dot plot shows similar pattern, therefore, the shape of the data distribution represented by the dot plot is: A. skewed to the left

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Expand and Simplify: (x-5)(x+7)

Answers

distributive property
(x-5)(x+7)
=x^2+7x-5x-35
=x^2+2x-35

Find the distance between the points (1,–5) and (9,9).

Answers

Answer:

[tex]\sqrt{260\\[/tex] or 16.12

Step-by-step explanation:

distance formula is [tex]} d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Distance (d) = √(9 - 1)2 + (9 - -5)2

= √(8)2 + (14)2

= √260

= 2√65

= 16.124515496597

Can somebody please answer this for me will give
Brainliest

Answers

1.) -2/3
2.) (0, 2)
3.) (0, 3)
I don’t know how to answer 4 and 5 sorry

6. If Aliya can make 10 bracelets in 2 days, how long will it take her to make 35 bracelets? WILL GIVE EXTRA 10 POINTS WILL MARK AS BRAINLIST

a) 175 days
b) 70 days
c) 7 days
d) 5 days

Answers

Answer:

Step-by-step explanation:

Answer:

7 days

Step-by-step explanation:

We need to find bracelets per day.

1 day 2 days

5 bracelets 10 bracelets

since we know how many bracelets she can make per day, all we have to do is divide 35 by 5.

to get 7 days.

What is the middle value of the following data set? 33, 36, 24 31, 39,44,32

Answers

Mean ( average) = 34.14286
Median (middle ) = 33
Hope that helped or the answer u was looking for

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.

Answers

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

Cendrick D'Amitrano works Friday and Saturday delivering pizza. He delivers 8 pizzas on Friday. How many pizzas must he deliver on Saturday to average (mean) 11 pizzas per day?

Answers

Answer:

Number of pizza deliver on Saturday = 14 pizza

Step-by-step explanation:

Given:

Number of delivery day (Friday, Saturday) = 2

Number of pizza deliver on Friday = 8

Average of delivery (Mean) = 11 pizza

Find:

Number of pizza deliver on Saturday

Computation:

Mean = Sum of pizza / Number of delivery day

11 = [8 + Number of pizza deliver on Saturday] / 2

22 = 8 + Number of pizza deliver on Saturday

Number of pizza deliver on Saturday = 22 - 8

Number of pizza deliver on Saturday = 14 pizza

Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?

Answers

Answer:

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

[tex]DE = 12[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Required

The proportion to find DE

To solve for DE, we can make use of the following equivalent ratios;

[tex]AB:DE = BC:EF[/tex]

Substitute values for AB, BC and EF

[tex]4:DE = 3:9[/tex]

Express as fractions

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

The above is the proportion to solve for DE

Solving further:

[tex]\frac{DE}{4} = 3[/tex]

[tex]DE = 4 * 3[/tex]

[tex]DE = 12[/tex]

Beth purchased her car for $18,400. Three years later the car was worth $15,200. Find the percent change in the value of her car.

Answers

Answer:

17.39%.

Step-by-step explanation:

As a percentage (rounded to two decimal places):

A decrease of 17.39%.

Cendrick D'Amitrano works Friday and Saturday delivering pizza. He delivers 8 pizzas on Friday. How many pizzas must he deliver on Saturday to average (mean) 11 pizzas per day?

Answers

Answer:

Step-by-step explanation:

there are two days whose mean is 11.for you to get the mean of 11 you had divided by 2

multiply 11 by 2 which is 22

then minus fridays which is 8

I don’t. Think I posted this one

Answers

Answer:

The volume of the ice cream cone is 528.1 cubic centimeters.

Step-by-step explanation:

The formula for finding the volume of a cone is V = [tex]\pi r^2\frac{h}{3}[/tex].

Substitute values now:

V = [tex]\pi* 5.8^2*\frac{15}{3}[/tex]

V ≈ 528.1

Use this picture to name one pair of ALTERNATE EXTERIOR angles: *

Answers

Answer:

angle 4 is congruent to angle 7

angle 8 is congruent to angle 3

angle 2 is congruent to angle 5

angle 1 is congruent to angle 6

Step-by-step explanation:

alternate exterior angles are congruent, which means identical

Ms. Neeson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Ms. Neeson bake?

Answers

Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=

Step-by-step explanation:

25 oatmeal cookies

5/6 of 30

30/6=5
5*5=25

If 8 + 4 = 12, then 12 = _ + _

Answers

Answer:

8 + 4

Step-by-step explanation:

It is a fact family.

Answer:

12= 4+8

Step-by-step explanation:

please help ! I’m so confused

Answers

Answer:

2/7 is the scale factor.

Step-by-step explanation:

All you have to do is get two sides that are equal to each other. Let's say Side SR and YX. 3 and 10.5. Do 3/10.5, which is 30/105, which simplified is 6/21, which again simplified is 2/7. So, the scale factor is 2/7.

I’ll give u BRANLIEST if u get it right

Answers

Answer:

Step-by-step explanation:

I think its A plz give me brainliest

Help please!!! I need it!

Answers

Answer:

1300.62

Step-by-step explanation:

thank me later lolol.

Paulette wrote the equation below to show f, the amount of framing she needs for a square frame with a side length of s centimeters. f=4s How many centimeters of framing does Paulette need for a square frame that has a side length of 15.3 centimeters. Pls help this is a test A. 61.2 centimeters B. 60.3 centimeters D. 19.3 centimeters C. 11.3 centimeters

Answers

Answer: 61.2 centimeters

Step-by-step explanation:

Since the equation given to show the amount of framing that she needs for a square frame with a side length of s centimeters is:

f = 4s

Therefore, the number of centimeters of framing needed by Paulette for a square frame that has a side length of 15.3 centimeters will be:

f = 4s

f = 4 × 15.3

f = 61.2 centimeters

3/5 = 12/x find the missing numbers in the equivalent ratios

Answers

Answer:

x=20

Step-by-step explanation:

Well just cross multiply if its easier

x(3)=3x

12*5=60

60=3x

x=20

The awnser for this should be 20

not sure about these either...

Answers

5 is a and 6 is also a

Describe the error in the work shown.

Answers

Answer:

where is the question

Step-by-step explanation:

Where is the question?

Plz no links and explain what your doing not just the answer thank you!

Answers

Answer:

I’m confused

Step-by-step explanation:

there is no pic .. :/

Can I get some help?

Answers

Type in the question without g(x)

which sets of three lengths can be used to form a triangle?

A. 7ft, 5ft, 2ft

B. 6ft, 4ft, 8ft

C. 15cm, 18cm

D. 72 in, 10 in, 90 in

E. 6m, 2m, 12m

F. 6 yd, 21 yd, 25yd

Answers

B, F, and the third one I don’t know (I think it’s C)

For C you only listed two lengths. For D and E there is one length that is longer than the other two lengths combined, so it can’t make a triangle. Same thing for A except for A one length is the same as the other two lengths combined.

I need help with all of them please

Answers

Answer:

7) 55 . 8) 30 9) 18

Step-by-step explanation:

PQRS is a parallelogram with PQ=26cm and QR=20cm . If the distance between the longer-sides is 12.5cm , Find

Answers

Answer:

Below.

Step-by-step explanation:

I am guessing you want the area of the parallelogram.

Take the longer side to be the base.

Area = base * distance between base and opposite side

= 26 * 12.5

= 325 cm^2.

I need help on this question plsss help

Answers

Try 28m I hope it’s right

London in column bought 1/2 pound of peanuts they are sharing the nuts equally how many pounds of nuts do each person get

Answers

Answer: 1/4 pounds

Step-by-step explanation:

Full question is:

Landon and Colin bought a 1/2 pound of peanuts. They are sharing the nuts equally. How many pounds of peanuts will each person get?

There are 2 people here - London and Colin - and they are to share 1/2 pounds of nuts equally amongst themselves.

They should therefore divide the nuts in 2:

= Amount of nuts / Number of people

= 1/2 ÷ 2

= 1/2 * 1/2

= 1/4 pounds

Note: When dividing a fraction, multiply the inverse of the divisor.

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