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
ladessa [460]
3 years ago
8

Please explain how this function behaves when it approaches the given x values!

Mathematics
1 answer:
frutty [35]3 years ago
7 0
<h2>Answer and Step-by-step explanation:</h2>

This is a piecewise function because it is defined by more than two functions. Basically, we want to take the limit here. Recall that if a function f(x)  approaches some value L  as x  approaches a  from both the right and the left, then the limit of f(x) exists and equals  L. Here we won't calculate the limit, but apply some concepts of it. So:

a. as \ x \rightarrow +\infty, \ k(x) \rightarrow +\infty

Move on the x-axis from the left to the right and you realize that as x increases y also increases without bound.

b. as \ x \rightarrow -\infty, \ k(x) \rightarrow 0

Move on the x-axis from the right to the left and you realize that as x decreases to negative values y approaches zero.

c. as \ x \rightarrow 2, \ k(x) \rightarrow 0

Since the function is continuous here, we can say that k(2)=0

d. as \ x \rightarrow -2, \ k(x) \rightarrow 0

The function is discontinuous here, but k(-2) exists and equals 0 as the black hole indicates at x=-2.

e. as \ x \rightarrow -4, \ k(x) \rightarrow 2

The function is also discontinuous here, but the black hole indicates that this exists at x=-4, so k(-4)=2

f. as \ x \rightarrow 0, \ k(x) \rightarrow 4

Since the function is continuous here, we can say that k(0)=4

You might be interested in
Plz help ill give you brainlist plz
vekshin1
Simple you get the area of the inner rectangle, then the area of the 2 semi circles then add them.
First, you need to notice that the diameter of each circle is same as the side of the rectangle (46m), also not that the 2 semi circles will make a complete one circle with radius (46/2)
so now we are left with the area of the rectangle+the area of a circle with radius of 32m
The total area= (46*92)+(3.14*(32^2))= 7447.36m^2
and to keep you significant figures the answer is rounded to 3 digits, so the final answer will be 745m^2.
Hope this helps, thanks.
3 0
3 years ago
What is 85% converted to a fraction?
Ksju [112]
The answer to the question is 85/100
6 0
3 years ago
The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you
Tju [1.3M]

Answer:

i- umm- its, well i got two answers n this question as well, but umm, i think its

1 5/12 maybe

Step-by-step explanation:

5 0
3 years ago
The equation 5m=36.25 models a constant rate situation. What is the value of 7m
Bond [772]

Answer:

7m = 50.75

Step-by-step explanation:

5m=36.25

We can solve this for m by dividing each side by 5

5/5m=36.25/5

m = 7.25

We want to find 7m

7(7.25) = 50.75

3 0
3 years ago
I need to know what this table is cause I need the answer
olga2289 [7]

Answer:

f(- 2) = 1

Step-by-step explanation:

f(- 2) means what is the value of f(x) when x = - 2

From the table we can see that when x = - 2 f(x) = 1

Hence

f(- 2) = 1

4 0
3 years ago
Read 2 more answers
Other questions:
  • Mila reads at a rate of 3 paragraphs per minute.
    9·2 answers
  • When 18 is subtracted from six times a certain number,the result is -42. what is the number?
    5·2 answers
  • What is the anwser to 8h times $9/h and what is the ratio units
    13·1 answer
  • Can anybody solve this?
    11·1 answer
  • I totally need help, (I just wanna see who will join)<br> It works :) <br> kte-diym-hvy
    12·2 answers
  • I need help please.
    12·2 answers
  • Find the equation of the line.<br> Use exact numbers.
    7·1 answer
  • Your friend says the solutions to the unequal 9x -11x &gt; 6 are x&gt; 3
    5·1 answer
  • Please help asap brainliest included
    15·1 answer
  • If s(x) = 2 - x and t(x) = 3x, which value is equivalent to (s•f)(-7)?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!