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
Tcecarenko [31]
3 years ago
9

Consider the following function. f(x) = 7x + 1 x (a) Find the critical numbers of f. (Enter your answers as a comma-separated li

st.) x = Incorrect: Your answer is incorrect. (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing Incorrect: Your answer is incorrect. decreasing Incorrect: Your answer is incorrect. (c) Apply the First Derivative Test to identify the relative extremum. (If an answer does not exist, enter DNE.) relative maximum (x, y) = Incorrect: Your answer is incorrect. relative minimum (x, y) = Incorrect: Your answer is incorrect.
Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Answer:

a) DNE

b) The function increases for every real value of x.

c) DNE

Step-by-step explanation:

Given a function f(x), the critical points are those in which f^{\prime}(x) = 0, that is, the roots of the first derivative of f(x).

Those critical points let us find the intervals in which the function increases or decreases. If the first derivative in the interval is positive, the function increases in the interval. If it is negative, the function decreases.

If the function increases before a critical point and then, as it passes the critical point, it starts to decrease, we have that the critical point (x_{c}, f(x_{c}) is a relative maximum.If the function decreases before a critical point and then, as it passes the critical point, it starts to increase, we have that the critical point [tex](x_{c}, f(x_{c}) is a relative minimum.If the function has no critical points, it either always increases or always decreases.In this exercise, we have that:[tex]f(x) = 7x + 1

(a) Find the critical numbers of f.

f^{\prime}(x) = 0

f^{/prime}(x) = 7

7 = 0 is false. This means that f has no critical points.

(b) Find the open intervals on which the function is increasing or decreasing.

Since there are no critical points, we know that either the function increases or decreases in the entire real interval.

We have a first order function in the following format:

f(x) = ax + b

In which a > 0.

So the function increases for every real value of x.

(c) Apply the First Derivative Test to identify the relative extremum.

From a), we find that there are no critical numbers. So DNE

You might be interested in
Need this quickly!! im not good in math so .
oksano4ka [1.4K]
In algebra, symbols are used to represent numbers. Example: 5x=20 or 4x=24
5 0
2 years ago
Read 2 more answers
A) A square has an area of 64 cm?
kolbaska11 [484]

Answer:

perimeter of square =34cm

Step-by-step explanation:

its 64..area

normally we find area by calculating side ×side

so 8×8

=64

  • so its 34cm....
7 0
2 years ago
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
mojhsa [17]
It would take him 30 mins
4 0
2 years ago
What is the value of expression? 5−8 • 5−4<br> a. 532<br> b. 54<br> c. 5−4<br> d. 5−12
Olin [163]
5-8\cdot 5-4 =5 (-8-4) = \boxed{5 (-12)}
4 0
3 years ago
How do I take picture on this app
NemiM [27]
When you r typing ur question, there is an Ask Question button, click that then click on the camera icon to take pic or gallery icon to pick pic from gallery
3 0
3 years ago
Read 2 more answers
Other questions:
  • Identify the type of transformation given the rule M(x,y)=(x,-y)
    5·2 answers
  • In a class of 80 students, 42 received a grade of
    7·1 answer
  • Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
    6·1 answer
  • A recipe for bread calls for 4 1/8 cups of flour. Jack accidentally put in 5 1/7 cups. How many extra cups did he put in
    10·1 answer
  • Which transformation moves all points the same distance in the same direction?
    12·1 answer
  • Please give me the answer
    14·2 answers
  • Given the speeds of each runner below, determine who runs the fastest.
    7·1 answer
  • . Robbie decides to make 12 batches of chicken noodle soup. How much ground black pepper should he use? ( THERE ARE 1/8 TEASPOON
    7·1 answer
  • A newly installed tank at the aquarium is shaped like a rectangular prism. The tank will be completely filled with water. A diag
    5·1 answer
  • Need help with this asap………
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!