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
8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girl
Oduvanchick [21]

Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the inverse of the equation y=3x ?
arlik [135]

Answer:

y = x/3

Step-by-step explanation:

y = 3x

x = 3y

3y = x

y = x/3

7 0
2 years ago
Read 2 more answers
What is 400,000 times 200 in scientific notation
aniked [119]

If you move the decimal point left until it is just to the right of the most-significant digit, the number of places you moved it is the power of ten that your new number is multiplied by.

400,000=4\times 10^{5}\\200=2\times 10^{2}

Then multiplication can proceed in the usual way, taking into account the rules of exponents.

4\cdot 10^{5}\times 2\cdot 10^{2}=8\cdot 10^{(5+2)}\\\\=8\cdot 10^{7}

8 0
3 years ago
Read 2 more answers
Emily earns $0.30 for every 0.75 mile she bikes. How much does she earn for 15 miles?
Degger [83]
I’m not 100% sure but I believe it’s 6
3 0
2 years ago
Read 2 more answers
Helppppppppppppppppppppppp please
Inga [223]
The answer would be 499.2 CM
6 0
3 years ago
Other questions:
  • X varies inversely with y and x = 8 when y = 10, what is the value of y when x=6
    6·1 answer
  • Solve the following equation. Then place the correct number in the box provided.
    8·2 answers
  • The base of a right rectangular prism has an area of 84.6 square centimeters and a height of 7 centimeters. What is the volume,
    8·1 answer
  • Write an equation that involves multiplication, contains a variable and has a solution of 5
    6·1 answer
  • What is 25/176 as a decimal
    12·1 answer
  • What is the volume of the cone in the diagram? height:18 radius:10
    13·2 answers
  • A rectangular prism shaped toy 6 in by 1 in by 2 in.
    6·1 answer
  • Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?
    9·1 answer
  • PLZ HELP<br> ANSWER BOTH QUESTIONS<br> THE SECOND ONE IS MORE OR LESS
    6·2 answers
  • Using the Factor Theorem, which of the polynomial functions has the zeros 4, <img src="https://tex.z-dn.net/?f=%5Csqrt7" id="Tex
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!