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
dlinn [17]
3 years ago
12

Select all of the following graphs which are one to one functions

Mathematics
1 answer:
alina1380 [7]3 years ago
4 0
Given a curve in the x-y axis.

We can determine whether the curve can be the graph of a function by the "Vertical Line Test",

and we can determine whether a function is 1-1 by the "Horizontal Line Test"



The Vertical Line Test states that a curve is the graph of a function only in every single vertical line drawn in the x-y axis, cuts the curve only ONCE:

Clearly a is not the graph of a function.

b is also not a function. The line x=-2 cuts the curve more than once.

Remark: it is highly probable that the figure is not smooth enough and the vertical line x=-2 cuts the curve only at (-2, 1)

This is because the curve is very similar to the graph of \sqrt[3]{x} shifted 2 units left and 1 unit up, most probably this is what was meant

BUT  we have to deal with it as it appears, as we are not given any other information!


The horizontal line test states that a function is 1-1 only if every single horizontal line drawn in the x-y-axis cuts the curve ONLY once.

Check the purple horizontal lines:

a and b are not functions, so not 1-1,

c, e and f are 1-1.

d is not 1-1, as we can see that the horizontal line we drew cut the curve more than once.

Answer:

c, e, f
 

You might be interested in
The length of a rectangle is 12 in and the perimeter is 56 what us the width of the rectangle
Aleks [24]
Hi there!

We can find the perimeter of a rectangle by using the following formula:

perimeter = 2 × width + 2 × length

In the question, we are given the following data: the length of the rectangle is 12 in and the perimeter is 56. Let's substitute this into our formula!

56 = 2 × width + 2 × 12
Multiply first.

56 = 2 × width + 24
Now subtract 24 from both sides.

32 = 2 × width
And finally, to find the width of the rectangle, divide both sides of the equation by 2.

16 = width
(we can eventually switch sides in the equation).

width = 16
~ Hope this helps you!
3 0
3 years ago
There are 20 pieces of fruit in a basket and 12 of them are oranges . what percentage of the pieces of fruit in the basket are o
natima [27]

Answer:

60% or 0.6

Step-by-step explanation:

Divide 12 by 20

12/20 = 0.6

Conversion to percentage

0.6 * 100 = 60%

7 0
2 years ago
Find the measure of the central angle of a sector if its area is 5 pi and the radius is 6
lesantik [10]
For this case we use the following formula
 Area of Sector = Area * radians of sector / 2 * pi radians
 Where,
 Area: it is the area of the complete circle.
 We have then:
 Area = pi * r ^ 2
 Area = pi * (6) ^ 2
 Area = 36pi
 Substituting values:
 5pi = 36pi * radians of sector / 2 * pi
 Clearing:
 radians of sector = ((5pi) * (2pi)) / (36pi)
 radians of sector = (10pi ^ 2) / (36pi)
 radians of sector = (10pi) / (36)
 radians of sector = (10/36) pi
 radians of sector = (5/18) pi
 in degrees:
 (5/18) pi * (180 / pi) = 50 degrees
 Answer:
 The measure of the central angle is:
 50 degrees
3 0
3 years ago
The function f(3) = 50.000(0.975)", where x represents the underwater
valentina_108 [34]

9514 1404 393

Answer:

  316 lumens/m²

Step-by-step explanation:

We assume your intensity function is ...

  f(x) = 50,000(0.975^x) . . . . x meters below the surface

__

Use 200 for x and do the arithmetic.

  f(200) = 50,000(0.975^200) ≈ 316 . . . . lumens/m²

6 0
3 years ago
How to tell if vector is unit vector?
Elenna [48]
A unit vector is a vector with a magnitude of one and a direction that depends on what is given. A vector specifies both the direction and magnitude different from a scalar quantity which only specifies magnitude not direction. Magnitude refers to the numeric value.
7 0
3 years ago
Other questions:
  • This is what we call a ratio with unlike quantities
    6·1 answer
  • The original price of a computer was reduced by $250.
    7·2 answers
  • Which of the following expressions has the greatest value?
    11·2 answers
  • Given a bottle with a height vs. volume graph that is created as the bottle is consistently filled with liquid, describe the cor
    6·1 answer
  • Proportions in Triangles (5)
    11·1 answer
  • There were 30 red tailed hawks counted during fqll. This was one-fourth of the hawks counted. How many hawks were not red tailed
    6·2 answers
  • How do you find the slope of a line? How do you know if two lines are parallel? give examples
    5·2 answers
  • What is the slope of the line through (-1, 2) and (-3,-2)?
    7·1 answer
  • X²+25<br>factor and find gcf first​
    10·1 answer
  • Bob rents a dump truck. The dump truck costs
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!