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
lidiya [134]
3 years ago
6

PLease help! 20 points!!

Mathematics
2 answers:
mars1129 [50]3 years ago
7 0

Answer with explanation:

The given rational function is

      y= \lim_{x \to 4^{-}} \frac{1}{x-4}

To find the vertical Asymptotes , put

→  Denominator =0

→ x-4=0

→x=4, is the Vertical Asymptote.

EleoNora [17]3 years ago
3 0

Answer: Negative infinity

note: if your teacher won't allow negative infinity, then try DNE for "does not exist"

=======================================================

Explanation:

As x gets closer to x = 4 from the left side of this value, then x starts at something like x = 3 and moves to x = 3.5, then to x = 3.9, then to x = 3.99, then to x = 3.999, etc

We get closer to x = 4 but never actually get there. If you look at the table attached, then f(x) = 1/(x-4) will keep getting more negative with larger and larger negative values. This growth goes on forever without any bound. So the limit is equal to negative infinity.

As you can see on the graph below, the curve heads downward as you approach x = 4 from the left hand side. Imagine you are a point on the curve, or this point is on a rollercoaster (the curve being the track itself). As you get closer to 4 from the left side, you go downhill. There is on limit to how far downhill you can go.

note: the graph and table in the attachment below were made by the free graphing calculator program GeoGebra

You might be interested in
Quiz
Tasya [4]

Answer:

1603

Step-by-step explanation:

3^3*4^3-5^3

__________

3*3*3=9*3=27

4*4*4=16*4=64

5*5*5=25*5=125

(27*64)-125

1728-125

1603

7 0
2 years ago
Read 2 more answers
What is 5t+16+6-5t can u help me
azamat
The answer is 22 because the 5t and -5t cancel each other
8 0
3 years ago
Read 2 more answers
Find the measure of the indicated angle.
marusya05 [52]

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

4 0
3 years ago
HELP PLS! WILL MARK BRAINLIEST! Read each problem statement and decide if
pogonyaev

Answer:

The answer is in the web link

Step-by-step explanation:

1.) https://shsmrward.weebly.com/uploads/1/0/0/3/10037735/independentdependent_ak.pdf

4 0
3 years ago
What does (5+2)(10+2) equal?
KatRina [158]
The answer would be 84
4 0
2 years ago
Read 2 more answers
Other questions:
  • Write each number in expanded form one
    6·1 answer
  • Complete the equation of the line whose slope is 5 and y-intercepts is (0,4)
    15·2 answers
  • Choose one of the factors of x^15 − 64.
    13·1 answer
  • 25 POINTS!!!! PLEASE EXPLAIN TO ME STEP BY STEP!
    15·2 answers
  • This table shows numbers of sweets in some tubes, but a coffee stain has deleted one of the figures.
    13·1 answer
  • What is the answer and work to the equation x+5x-6<12
    7·1 answer
  • GUYS PLEASE HELP ILL GIVE YOU A BRAINLIEST ( the measure of arc XY is:)
    13·1 answer
  • HELP ASAP WILL GIVE BRAINLIEST
    12·2 answers
  • I need to know what 9+10=
    14·2 answers
  • I I need to find the surface area of this triangular prism.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!