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
azamat
3 years ago
8

Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):

Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

You have relative maximum at x=1.

Step-by-step explanation:

-Note that f' is continuous and smooth everywhere. f therefore exists everywhere on the domain provided in the graph.

f' is greater than 0 when the curve is above the x-axis.

f' greater than 0 means that f is increasing there.

f' is less than 0 when the curve is below the x-axis.

f' is less than 0 means that f is decreasing there.

Since we are looking for relative maximum(s), we are looking for when the graph of f switches from increasing to decreasing. That forms something that looks like this '∩' sort of.

This means we are looking for when f' switches from positive to negative. At that switch point is where we have the relative maximum occurring at.

Looking at the graph the switch points are at x=0, x=1, and x=2.

At x=0, we have f' is less than 0 before x=0 and that f' is greater than 0 after x=0.  That means f is decreasing to increasing here. There would be a relative minimum at x=0.

At x=1, we have f' is greater than 0 before x=1 and that f' is less than 0 after x=1. That means f is increasing to decreasing here. There would be a relative maximum at x=1.

At x=2, we have f' is less than 0 before x=2 and that f' is greater than 0 after x=2. That means f is decreasing to increasing here. There would be a relative minimum at x=2.

Conclusion:

* Relative minimums at x=0 and x=2

* Relative maximums at x=1

You might be interested in
Jamal makes $12.00/hour and worked 9 hours today. What is his total pay? Don't forget to calculate overtime pay.​
Elanso [62]

Answer:

He made $108 in 9 hours

Step-by-step explanation:

I first multiplied 12 by 9 and got 108

5 0
3 years ago
Read 2 more answers
20 POINTS WILL MARK AS BRAINLIEST AND SAY THANKS In 2000, the cost of many items increased because the increase in the cost of g
antoniya [11.8K]
Let the cost of gasoline in the year 2000 be represented b the equation
y = a + b*x
where
x = months, counted from January
y = cost, dollars

The given data in the table is
Month:        Jan  Feb  Mar  Apr  May  Jun  Jul  Aug  Sep  Oct  Nov  Dec
x, months:       1       2     3       4      5       6     7      8      9     10     11      12
y, dollars:     ---      ---     ---     ---   1.76   2.13   ---     ---    ---      ---    ---     ---

When x = 5, y = 1.76.
Therefore
a + 5b = 1.76               (1)

When x = 6, y = 2.13
Therefore
a + 6b = 2.13              (2)

Subtract equation (1) from (2).
a + 6b - (a + 5b) = 2.13 - 1.76
b = 0.37

From (1), obtain
a = 1.76 - 5b
   = 1.76 - 5*0.37
   = -0.09

The required equation is
y = 0.37x - 0.09
The graph shows the line, with the given data for May and June.

Answer: D.  y = 0.37x - 0.09

7 0
3 years ago
Will give brainliest to correct answer please help
tangare [24]

Answer:

Its B

Step-by-step explanation:

I did the test on edge

6 0
3 years ago
The scale of a map says that 4 cm represents 5 km.
andriy [413]

Answer:

a. 3.2 cm

b. 6.25 km

Step-by-step explanation:

a.

(4 km)/(5 km) = 0.8

4 km is 0.8 of 5 km, so in the map it is 0.8 of 4 cm.

0.8 * 4 cm = 3.2 cm

Answer: 3.2 cm

b.

(5 cm)/(4 cm) = 1.25

5 cm is 1.25 times 4 cm, so it represents 1.25 * 5 km.

1.25 * 5 km = 6.25 km

Answer: 6.25 km

3 0
3 years ago
The ratio of boys to girls in math classes is 5 :7. if there are 60 students in all or her classes, how many are boys
daser333 [38]
Total of ratio 5+7=12

60/12 = 5

For boys 5x5 = 25 boys in her class

(For girls 7x5 = 35)
6 0
3 years ago
Other questions:
  • According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. in a random s
    11·2 answers
  • Emma is 9 1/4 years old . how many months is Emma please answer
    9·2 answers
  • Integrated circuits consist of electric channels that are etched onto silicon wafers. A certain proportion of circuits are defec
    14·1 answer
  • Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
    10·1 answer
  • Martin finds a t-shirt on 24% sale. The original price was $45. Martin must pay 8.25% sales tax. How much does he need to pay in
    12·2 answers
  • Elena needs to ship a 61 cm concert flute to a customer. She has two rectangular boxes. One is 25 cm by 25 cm by 50 cm. The othe
    8·1 answer
  • PLZ HELP !!!! Only do B) and C)
    15·1 answer
  • (PLEASE HELP ASAP ILL MARK BRAINIEST)
    10·1 answer
  • 6(1 + 3R) = 2(10R - 9) -4R
    10·1 answer
  • A small television costs $150. if the sales tax is 6%, what is the total cost
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!