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
sergey [27]
2 years ago
7

Use the given graph to determine the limit, if it exists. (4 points)

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
8 0
<h3>Answer:  3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write \displaystyle \lim_{x\to3^{+}}f(x) = 3

The portion x \to 3^{+} means we're approaching 3 from the positive side, aka the right hand side on the number line.

You might be interested in
The ratio of girls to boys who participated in the quiz bowl was 7:5. There were 42 girls in the competition. How many boys part
Vlad1618 [11]
7*6=42 girls
5*6=30 boys
7:5=42:30
30 boys participated
4 0
3 years ago
Read 2 more answers
Write the equation of the line in slope-intercept form using y=mx+b​
AnnZ [28]
It looks like it goes through (0,-3) and (1,2), so the gradient is (change in y)/(change in x) ->
(-3-2)/(0-1) = 5
So y=5x+b

Then as we know it passes the y axis at (0,-3) so b= -3

So we have y=5x-3
3 0
2 years ago
Read 2 more answers
If some one could help me with these three questions I will be stoked!!!please please help me my teacher didn’t walk us through
salantis [7]

17) replace the given number for "x" and evaluate

a) x² + 2x + 1   ; when x = 3

  3² + 2(3) + 1

= 9 + 6 + 1

= 16

b) x² + 2x + 1   ; when x = -4

  (-4)² + 2(-4) + 1

= 16 - 8 + 1

= 9

c) x² + 2x + 1   ; when x = 3

  (-22.872)² + 2(-22.872) + 1

= 523.128384 - 45.744 + 1

= 478.384384

18) The dependent variable is affected by the other variable and is the "output"   The independent variable is the input.

a) y = 3x - 5;    "x" is the independent variable

b) the time of day is the independent variable  (you would input the time of day to calculate the temperature).

19) Let the x-axis represent the length of the lumber cut off and the y-axis represent the length of the lumber remaining.

5 0
3 years ago
4 ^-3 rewrite without an exponent
hichkok12 [17]

Answer:

(1/4)³

Step-by-step explanation:

Hope it helps you

5 0
2 years ago
Read 2 more answers
What is the perimeter of the square?
KATRIN_1 [288]
The answer is A. 24 yards because to find perimeter, you add up the lengths of all four sides
6 0
3 years ago
Read 2 more answers
Other questions:
  • How many groups of 2 people can you form with 6 people
    9·2 answers
  • THA<br> 8<br> ft<br> 12 ft<br> 18 ft<br> 8 ft<br> 16 ft<br> What’s the total?
    10·2 answers
  • Find the volume of the figure.
    7·2 answers
  • The scores on a test given to all juniors in a school district are normally distributed with a mean of 79 and a standard deviati
    9·1 answer
  • Question 1
    5·1 answer
  • Using partial quotients, which would be the best choice for the first number to subtract in the division problem 5,166 divided b
    12·1 answer
  • What is the value of x in the simplified expression?
    9·1 answer
  • HELP FOR 20 POINTSSS
    6·1 answer
  • Two primes that add to 24
    9·2 answers
  • A plumber charges a $25 flat rate. If he works for 6 hours, how much does he charge per hour if the total is $67?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!