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
tangare [24]
3 years ago
13

I don’t know how to do this

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

To check for continuity at the edges of each piece, you need to consider the limit as x approaches the edges. For example,

g(x)=\begin{cases}2x+5&\text{for }x\le-3\\x^2-10&\text{for }x>-3\end{cases}

has two pieces, 2x+5 and x^2-10, both of which are continuous by themselves on the provided intervals. In order for g to be continuous everywhere, we need to have

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3^+}g(x)=g(-3)

By definition of g, we have g(-3)=2(-3)+5=-1, and the limits are

\displaystyle\lim_{x\to-3^-}g(x)=\lim_{x\to-3}(2x+5)=-1

\displaystyle\lim_{x\to-3^+}g(x)=\lim_{x\to-3}(x^2-10)=-1

The limits match, so g is continuous.

For the others: Each of the individual pieces of f,h are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.

You might be interested in
It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo
Rama09 [41]

$200 - $25 = $175

175/35= 5

5 hours

3 0
3 years ago
Read 2 more answers
12 is 80% of what number?
anzhelika [568]
15


Mark me brainliest! Hope it helps!!! :)
8 0
3 years ago
Read 2 more answers
Equation of a line that passes through points (4,2) and (-2,-4)?
IRINA_888 [86]

Hello there!

Step-by-step explanation:

<h2>Lesson: Exploring Slope and Slope-intercept form</h2>

Slope formula: m=\frac{Y^2-Y^1}{X^2-X^1}

Rise/run

\frac{rise}{run}

m=\frac{(-4)-2=-6}{(-2)-4=-6}=\frac{6}{6}=1

<em><u>Therefore, the slope is 1.</u></em>

<em><u>Answer: 1</u></em>

Hope this helps!

Thanks!

-Charlie

:)

:D

6 0
3 years ago
Need help ( due tomorrow) will give you brainliest answer if ALL answers are correct and ALL done
taurus [48]
1) slope= -5/2 Y-intercept= -1
2) slope= 3/2 Y-intercept= 3
3) slope= -7/3 Y-intercept= 4
4) slope= -4/9 Y-intercept= -3
5) slope= -2/1 Y-intercept= 2
6) slope= 1/2 y-intercept= -1
7) slope= 5/2 Y-intercept= -4
8) slope= -1/3 Y-intercept= 1
9) slope= 1/2 Yintercept= 4
10) slope= -2/3 y-intercept= -2
7 0
3 years ago
What are the names of three collinear points?
djyliett [7]

Answer:

B) Points T, V, and U are collinear

3 0
3 years ago
Other questions:
  • Use the FOIL method to find the product. (8a − 8)(4a + 1)
    8·1 answer
  • Lauren is selling tickets for her class play. She has already sold twice as many tickets this year as she did last year. If she
    10·1 answer
  • What is the quotient of (x3 +3×^2-4x-12) ÷ (x^2 + 5x +6)
    9·1 answer
  • a box of 60 tissues has a length of 11 cm , a width of 10.5 cm and a height of 13.5 cm. find the volume of the box of tissues
    7·1 answer
  • assume the two lines ab and xy intersect as in the diagram below. which of the following statements are true
    9·2 answers
  • Sears has a dishwahsher tjat cost 679 it is.on dale for 35% off how much would you pay
    8·1 answer
  • A baseball player swings at the ball 56 times over a season and hits 16 times.
    15·1 answer
  • The given cylindrical
    7·1 answer
  • 3x9 is 27 <br><br>9,18,27<br><br>if you need more support just ask me ;)
    7·2 answers
  • kassim has amoney box containing 100 mixed sh 5 and sh 10 coins with a totalvalue of sh 600. How many of each type of coin does
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!