![hopeR13](/avatars/20927.jpg)
hopeR13
22.01.2021 •
Mathematics
Write an equation of the line with a slope of -4 and a y-intercept of 2
Solved
Show answers
More tips
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home Parents or Environment: Who Has the Most Influence on a Child s Upbringing?...
- H Health and Medicine Is it true that working with a computer is harmful to your eyesight?...
- H Health and Medicine Boosting Immunity: A Complete Guide on How to Improve Your Body’s Natural Defenses...
- P Philosophy Unidentified Flying Object - What is the Nature of this Phenomenon?...
- C Computers and Internet How to Teach Older Generations to Work with Computers?...
- G Goods and services How to Choose a Coffee Maker? The Ultimate Guide for Coffee Lovers...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
Answers on questions: Mathematics
- M Mathematics How do you do a coordinate graph faster?...
- M Mathematics For this activity, you will be creating a confidence interval for the average number of hours of TV watched. Students from a former MAT 152 class asked the question, How many hours...
- M Mathematics Sally had 8 pennies in her bank she spend 5 of her pennies how many pennies does she have now?...
- M Mathematics At time x=0 , water begins to drip steadily out of a water tank. After 3 hours, there are 7.7gallons of water in the tank. After 9 hours, 7.1 gallons remain. Write a linear function...
- M Mathematics What is the slope of the line that is perpendicular to y=2x-4...
- M Mathematics Why does sin(x) = cos (90-x) in a right triangle?*...
- M Mathematics Find angles j and k wishing the triangle...
- M Mathematics How do you define the sequence using function notation? Assume the domain is all natural numbers. (link with answer choices)...
- M Mathematics Let p(x) and q(x) be polynomials as shown below.p(x) = a0 + a1x + a2x^2... + anx^nq(x) = b0 + b1x + b2x^2... + bmx^mWhich of the following is always true regarding the product of...
- M Mathematics What is 10/15 in simplest form?...
Ответ:
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
, 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](/tpl/images/0278/8816/47714.png)
(a) Find the critical numbers of f.
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:
In which
.
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