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liq [111]
1 year ago
6

Explain the meaning of continuity as it pertains to a function. Identify and explain the three conditions that must exist in ord

er for a function to be continuous at a given point.
Mathematics
1 answer:
vesna_86 [32]1 year ago
6 0

When there are no gaps or breaks on the graph, a function is continuous. When a function fails to be continuous, it is said to be discontinuous at that location.

<h3>What is Continuity in Calculus?</h3>

A function is continuous when there are no gaps or breaks in the graph. These gaps or breaks can be easily seen in a graph. They are also easily stated as holes, jumps, or vertical asymptotes. However, in calculus, you must be more specific in your definition of continuity.

There are three conditions that must be met in order to state a function is continuous at a certain point.

A function f(x) is continuous at a point a if only if the following three conditions are satisfied:

1.)f(a) is defined

2.)lim x→a f(x) exists

3.)lim x→a f(x)=f(a)

Therefore,  A function is discontinuous at a point a if it fails to be continuous at a.

Learn more about Continuity here

brainly.com/question/24898810

#SPJ1

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Pls help me!! I just need help on both of the following questions, a-d on each
Ymorist [56]
I'll do a and e on the first one to show you how to do it

Then See if you can do the rest

a. 6(-3)<span><span>
</span></span>
When your multiplying or dividing with negative numbers; If one of your numbers is negative like the one above, your answer will be negative

So 6 × 3 = 18 ; but since there is a negative on the 3 your answer will be -18

e. -20 ÷ 5

same for this; 20 ÷ 5 = 4, but since the 20 is negative the answer will be <span>-4

You do b, c, d, and f on the first question. Tell me what you get and we'll go from there

</span>Now for the second question <span>

</span>I will do a and d to show you how to do this then you do the rest<span> (I'm inserting a picture with these)

</span>a. 4(-2 \frac{1}{3}) + 7 \frac{1}{6}
First go ahead and turn the fractions into improper fractions, this makes them a bit easier to work with. When multiplying fractions; they do not need a common denominator, all you do is multiply top by top and bottom by bottom.<span>
However, when you add and subtract fractions you MUST have a common denominator

</span>d. (-4.25)(2) + (-4.25)(-2)
remember from the first problem a negative times a positive gives you a negative<span>

but when you times a negative by a negative you get a positive


Now you try b and c; let me know what you get, and we'll go from there!

</span>

7 0
3 years ago
( 9b - 3 ) ( b + 6 ) <br> Simplify this expression ! <br> Please answer this !!
Colt1911 [192]

Answer:

9b^2+3b-18

Step-by-step explanation:

make a box and multiply each of the parts

7 0
3 years ago
How can you solve a rational equation without graphing?
KiRa [710]

Answer:

To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:

x2 – 6x + 8 = (x – 4)(x – 2)

The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)

Step-by-step explanation:

4 0
3 years ago
What is the LCM of 10 and 14
Oduvanchick [21]
The LCM of 10 and 14 is 2.
5 0
3 years ago
Read 2 more answers
If you multiply 235 by 49, what will be the partial products?
Olenka [21]

Answer:

Step-by-step explanation:

(200+30+5)(40+9)

40*200 = 8000

40*30=   1200

40*5=200

9*200= 1800

9*30=270

9*5=45

8000+1200+200+1800+270+45 =11515

7 0
3 years ago
Read 2 more answers
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