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
How to numerically write five and eight then multiply by 4
lozanna [386]

Answer:

5 + 8 × 4

Assuming "five and eight" means 5 + 8

8 0
2 years ago
PLEASEEEEEEE HELP WITH THIS QUESTION PLEASE I AM BEGGING YOU
zlopas [31]
The answer would be (2,3).

Try sketching it out, it helps :) 
6 0
2 years ago
Read 2 more answers
Write the equation of the circle with the given graph.
lara [203]

By identifying the radius and the center, we concluded that the equation is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

<h3></h3><h3>How to write the equation of the circle?</h3>

For a circle centered on the point (a, b) with a radius R, the equation is:

(x - a)^2 + (y - b)^2 = R^2

So first we need to identify the center, we can see that it is: (2, 1.5)

And the radius is the distance between the center and the edge.

R  = 1.8 (measured with a ruler, respecting the notation of the graph).

Then the equation of the circle is something like:

(x - 2)^2 + (y - 1.5)^2 = 1.8^2

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

7 0
1 year ago
I’m hoping I did this one right
drek231 [11]
The answer actually is 4,245 BUT that is the correct way to do it because you take the smaller population away from the larger population in order to find their difference in sizes.
8 0
2 years ago
Simplify. (3x^2 + 3) - (6x + 4) + (3x^2 - 5x)
r-ruslan [8.4K]

Answer:

6x^2 -11x -1

Step-by-step explanation:

(3x^2 + 3) - (6x + 4) + (3x^2 - 5x)

Distribute the minus sign

(3x^2 + 3) - 6x - 4) + (3x^2 - 5x)

Combine like terms

3x^2 + 3x^2 - 6x  - 5x -4+3

6x^2 -11x -1

3 0
2 years ago
Other questions:
  • Hector keep close tabs on his bank account. His account had a balance of -$22.80. The next day, he made a deposit of $56.60. His
    15·2 answers
  • Mark and joan worked together to sell a $12,000 air conditioning unit for an apartment building they agreed to split the 12% com
    6·1 answer
  • Which statement is the inverse of if it rains then l do not go fishing
    6·1 answer
  • Write a numerical expression to match the written expression below: Twenty-three less than the sum of forty-nine and thirty-seve
    12·2 answers
  • Is 1/9 closer to 0 1/2 or 1
    10·2 answers
  • HELP ASAP PLZ Identify the angle relationships formed (spelling is important). Determine the value of x. Then determine the meas
    11·1 answer
  • Aster sold 18 oranges if this are 12% of her total oranges how many oranges are not sold​
    7·2 answers
  • How do I do these 2 questions
    7·1 answer
  • ( a+b )^2 = ...........................
    8·2 answers
  • What is 24 x 2 to the power of 10 ?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!