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
mariarad [96]
3 years ago
5

Match the function with its graph.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

Option a. 1C, 2A, 3B, 4D.

Step-by-step explanation:

1) We know that tan(x)=sin(x)/cos(x). If x=0, sin(x)=0 and cos(x)=1 then tan(x)=0. For that reason, we know that the graph passes through the point (0,0).

If x=45, then sin(45)= \frac{\sqrt{2}}{2} and cos(45)=\frac{\sqrt{2}}{2}. Thus tan(45)=1. The only graph that passes through the point (0,0) and is possitive when x=45 is the graph C.

2) We know that cot(x)=cos(x)/sin(x). If x=0, sin(x)=0 and cos(x)=1 then tan(x)=+∞. For that reason, we know that the graph has an asymptote in y=0, in other words, it never crosses the y-axis.

If x=45, then sin(45)= \frac{\sqrt{2}}{2} and cos(45)=\frac{\sqrt{2}}{2}. Thus cot(45)=1. The only graph that has an asymptote in y=0 and is possitive when x=45 is the graph A.

3) We know that -tan(x)=-sin(x)/cos(x). If x=0, sin(x)=0 and cos(x)=1 then -tan(x)=0. For that reason, we know that the graph passes through the point (0,0).

If x=45, then sin(45)= \frac{\sqrt{2}}{2} and cos(45)=\frac{\sqrt{2}}{2}. Thus -tan(45)=-1. The only graph that passes through the point (0,0) and is negative when x=45 is the graph B.

) We know that -cot(x)=-cos(x)/sin(x). If x=0, sin(x)=0 and cos(x)=1 then tan(x)=-∞. For that reason, we know that the graph has an asymptote in y=0, in other words, it never crosses the y-axis.

If x=45, then sin(45)= \frac{\sqrt{2}}{2} and cos(45)=\frac{\sqrt{2}}{2}. Thus -cot(45)=-1. The only graph that has an asymptote in y=0 and is negative when x=45 is the graph D.

You might be interested in
The difference between a number x and 13 is 21
Setler [38]

Answer:

x = 34

Step-by-step explanation:

3 0
3 years ago
Reggie spent 2/5 of his day at a camp exploring nature.if he was at camp for 10 hours,how many hours did he spend exploring natu
STALIN [3.7K]
He spends 4 hours exploring nature

3 0
3 years ago
Round up 0.12 to the nearest tenth
nata0808 [166]
0.12 rounded to the nearest tenth is 0.10
8 0
3 years ago
pritz makes 7 2/3 pints of pineapple juice she drank 5/6 pints of juice and poured. 3/4 of the remaining juice equally into 3 bo
kirza4 [7]

Answer:

45

Step-by-step explanation:

7 0
3 years ago
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
PilotLPTM [1.2K]

Answer:

Hence, the model that best represents the data is:

y=26.9x-1.3

Step-by-step explanation:

We are given a table that  shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

6 0
3 years ago
Read 2 more answers
Other questions:
  • Help me answer <br> Expand 3p(p+5)
    12·2 answers
  • Need help It is working with functions and I need assistance
    6·1 answer
  • You can buy 4 apples at stop and shop for 0.96. you can buy 6 of the same apples at path mark for $1.50 which store has the bett
    6·1 answer
  • Line b passes through the point (-4,-7) and has a slope of -3/2 what is the equation of line b in standard form?
    9·1 answer
  • A person runs 1/7 mile in 1/56 hour.The person's speed is miles per hour.
    14·2 answers
  • The Wright brothers made the world's first flight in a power-driven airplane. The flight lasted for 12 seconds at an average spe
    6·1 answer
  • How many meters are<br>there in 58 kilometers?​
    7·2 answers
  • Let f(x) = 12 / 4x + 2 find f(-1)
    12·1 answer
  • What are the coordinates of the image of vertex G after a
    7·2 answers
  • Which equation demonstrates the additive identity property?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!