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
neonofarm [45]
3 years ago
12

The function f(x) is continous on the interval (-3, 4). If we know that f(-1) = 4 and f(3) = 7, what can we say about the output

s of f(x), i.e. what values does f definitely take and/or not take?
Mathematics
1 answer:
Vikentia [17]3 years ago
7 0

Answer:

f definitely takes all the values between 4 and 7.

Step-by-step explanation:

From the data that is given to us, we know that f(x) is continuous on the interval (-3,4). Both values -1 and 3 are inside this interval, so therefore we can say that the function f(x) is continuous on the interval [-1, 3].

The definition of continuous function on an interval [x, y] tells us that the function takes all the values between f(x) and f(y).

Therefore, we can say that f definitely takes all the values between 4 and 7. (f(-1) and f(3))

You might be interested in
Assume that a procedure yields a binomial distribution with n=3 trials and a probability of success of p=0.300. use a binomial p
NNADVOKAT [17]
\mathbb P(X=x)=\begin{cases}\dbinom3xp^x(1-p)^{3-x}&\text{for }0\le x\le3\\\\0&\text{otherwise}\end{cases}

\implies\mathbb P(X=2)=\dbinom32(0.3)^2(0.7)^1=0.189=18.9\%
7 0
4 years ago
Please help with these questions (no links)
seraphim [82]
If the cakes are circles,
3.14(4)2= 50.24
3.14(5)2= 78.5
78.5-50.24= 28.26

#1 is 28.26
3 0
2 years ago
What is 30/45 simplest form
Marysya12 [62]
\dfrac{30}{45}=\dfrac{30:15}{45:15}=\dfrac{2}{3}
5 0
3 years ago
The volume of a sphere is 36 ft.3 What is the radius of the sphere? Use
noname [10]

Answer:

828382772

Step-by-step explanation:

do it your self

hope this help

5 0
3 years ago
Which is the solution to the inequality? y + 15 < 3​
Yuki888 [10]

Answer:

y < - 12

Step-by-step explanation:

y + 15 < 3 ( subtract 15 from both sides )

y < - 12

4 0
2 years ago
Read 2 more answers
Other questions:
  • For her birthday, Kendra received a gift card in the mail from her grandparents. The gift card was worth $50. Kendra thought, si
    13·1 answer
  • What is tge common factors of 24 64 and 88
    8·1 answer
  • Ben states that 3/7 + 1/2 = 4/9. jada says tat can't be true, because 4/9 &gt; 1/2. is she correct? explain.
    9·1 answer
  • The average of 2 numbers is 1/2. if one of the numbers is 11/17 then the other number is ___
    14·1 answer
  • What is 2 times 8976543210?
    10·2 answers
  • A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the po
    9·2 answers
  • 1. 4x - 5 ( for x is 4 )
    11·2 answers
  • PLEASE HELP! I will award Brainliest!!! Find the area of the shaded regions. Give your answer as a completely simplified exact v
    6·2 answers
  • Please hurry I will mark you brainliest
    6·1 answer
  • Is x + 1 a factor of <img src="https://tex.z-dn.net/?f=x%5E%7B4%7D%20%2B2x%5E%7B3%7D%20%2B2x%5E%7B2%7D%20-2x-3" id="TexFormula1"
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!