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
VikaD [51]
2 years ago
12

Verbal

Mathematics
2 answers:
Marysya12 [62]2 years ago
8 0

Answer:

If a one-to-one function is not continuous, it is sometimes increasing or decreasing. If a one-one function is continuous, it is always increasing or always decreasing.

For example, if $f(x)=\left\{\begin{array}{lll}-x & \text { if } & |x| \geq 1 \\ x & \text { if } & |x| < 1\end{array}\right.$

This function is one-to-one and it is not always increasing or decreasing.

Step-by-step explanation:

A statement that are one-to-one functions either always increasing or always decreasing is given.

It is required to explain the given condition.

To explain the given condition, consider a continuous and a not continuous function then explain about the one-to-one function.

If a one-to-one function is not continuous, it is sometimes increasing or decreasing.

For example, if $f(x)=\left\{\begin{array}{lll}-x & \text { if } & |x| \geq 1 \\ x & \text { if } & |x| < 1\end{array}\right.$

This function is one-to-one and it is not always increasing or decreasing.

If a one-one function is continuous, it is always increasing or always decreasing.

For example, if f(x)=x-3. It is a continuous function and it reaches a minimum value at some values of x and it then keeps increasing.

There will be the same output value for different input values. It does not pass the horizontal line test and so it is not a one-to-one function.

Ann [662]2 years ago
6 0

Answer:

If a function is continuous and one - to - one then it is either always increasing or always decreasing.

Step-by-step explanation:

An easy way to see this on a graph is to draw a horizontal line through the graph . If the line only cuts the curve once then the function is one - to - one.

You might be interested in
Find the angle measures given the figure is a rhombus.
WITCHER [35]

Answer:

1 = 90°, 2 = 66°

Step-by-step explanation:

Since the diagonals of a rhombus are perpendicular, ∠1 = 90°. Using the Exterior Angles Theorem (exterior angle = sum of remote interior angles, we see that ∠2 = 90 - 24 = 66°.

5 0
3 years ago
24 POINTS!
frutty [35]
Square
Rectangle

because right angles means 90 degrees and the others have acute angles and obtuse angles in them.
4 0
3 years ago
Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answe
vampirchik [111]

Answer:

$600

Step-by-step explanation:

Simple Interest Rate: A = P(1 + RT)

A       \longmapsto     Total Value

P       \longmapsto     Principle

R       \longmapsto     Rate

T       \longmapsto     Time

__________________________________________________________

<h2>Step 1: Insert Values </h2><h2> </h2>

Let's plug the info we have into the formula:

A = 4000(1 + 0.05(3))

A = 4000 + 4000(0.15)

A = 4000 + 600

A = 4600

__________________________________________________________

<h2>Step 2: Finding the Interest</h2><h2 />

So the total value she ends up with $4600, but we want to find the extra value, or interest, she has to pay.

To find this we subtract the principle from the new value:

4600 - 4000 = 600

Liz has to pay $600.

-Chetan K

7 0
3 years ago
Consider the original triangle and its enlargement.
Ira Lisetskai [31]
12 cm to 24 cm
the scale factor is 2x
3 0
3 years ago
Read 2 more answers
Log3 (x squared + 7x + 21) = 2
Nezavi [6.7K]

Step-by-step explanation:

log <base a> b = x

means

a^x = b

So

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

3 0
3 years ago
Other questions:
  • Jane Marko buys a car for $43,900.00. In three years, the car depreciates 48% in value. How much is the car worth in three years
    8·2 answers
  • PLEASE ANSWERRRRRRR
    5·1 answer
  • Point A is located at (−2, 2), and point M is located at (1, 0). If point M is the midpoint of segment AB, find the location of
    6·1 answer
  • Team D's car went the same distance on each of its trials. Team C's car went exactly 1 cm farther in each trial than Team D's ca
    13·1 answer
  • Can I know if part c is correct? ​
    12·1 answer
  • Find the vertex and symmetry for each problem.
    7·1 answer
  • Given f(x) = 21 - 1, complete the missing values in the table
    10·1 answer
  • ) Evaluate<br> 42+(9 divided by 3 x 2) - 4
    7·1 answer
  • Question 10 of 10
    13·1 answer
  • Bryan brought his series set of Rowan and the Dragon Quest to a secondhand store to sell. He was paid cash for all 5 books in th
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!