All categories

3 years ago

The absolute value function is one-to-one, while the greatest integer function is many-to-one.

Mathematics

2 answers:

Molodets [167]3 years ago

7 0

Answer:

Option B that is false.

Step-by-step explanation:

The above statement is false because

Absolute value function is not one-one

For example:

|x|=x and |-x|=x

We are getting one vale at two different points.

And greatest integer function is many to one that is correct because

it will consider only the integer part

for example:

[1.05]=1 ,[1.02]=1 ,[1.06]=1 ,[1.08]=1

Hence, many to one

Nut one if false one is true

Hence, entirely it would be a false statement

s344n2d4d5 [400]3 years ago

5 0

The absolute value function is one-to-one, while the greatest integer function is many-to-one.

Answer: The statement shown above is false. The absolute value function is not not one to one, and the greatest integer function is not many to one. Therefore the correct answer choice is B) False. The best way to find whether a function is one to one is explained in the attachment.

I hope it helps, Regards.

You might be interested in

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = x2y − 1 2 y

GuDViN [60]

Answer:

Euler's method is a numerical method used in calculus to approximate a particular solution of a differential equation. As a numerical method, we have to apply the same procedure many times, until get the desired result.

In first place, we need to know all the values the problem is giving:

The step size is 0.2; h = 0.2. This step size is a periodical increase of the x-variable, which will allow us to calculate each y-value to each x.
The problem is asking the solution y(1), which means that we have to find the y-value assigned for x = 1, through the numerical method.
The initial condition is y(0) = 9. In other words, $x_{o} = 0\\y_{0}=9$ .

So, if the initial x-value is 0, and the step size is 0.2, the following x-value would be: $x_{1}=0.2$ ; then $x_{2}=0.4$ ; $x_{3} =0.6; x_{4} =0.8;x_{5} =1$ ; and so on.

Now, we have to apply the formula to find each y-value until get the match of $x_{5}=1$ , because the problem asks the solution y(1).

According to the Euler's method:

$y_{1} =y_{0} +hF(x_{0};y_{0})\\y_{2} =y_{1} +hF(x_{1};y_{1})\\y_{n} =y_{n-1} +hF(x_{n-1};y_{n-1})$

Where $F(x;y)=x^{2} y-12y^{2}$ , and $x_{0} =0; y_{0} =9$ ; $h=0.2$ .

Replacing all values we calculate the y-value assigned to $x_{1}$ :

$y_{1} =9+0.2((0)^{2} 9-12(9)^{2})=-185.4$ .

Now, $y_{1} =-185.4$ , $x_{1} =0.2; h=0.2$ . We repeat the process with the new values:

$y_{2} =y_{1} +hF(x_{1};y_{1}) \\y_{2} = -185.4+0.2((0.2)^{2} (-185.4)-12(-185.4)^{2} )\\y_{2}=-82682.47$

Then, we repeat the same process until get the y-value for $x_{5} =1$ , which is $y_{5} = -1.0018$ , round to four decimal places.

Therefore, $y(1)=-1.0018$ .

7 0

3 years ago

According to Greg, perfect cherry pies have a ratio of 210 cherries to 3 pies

Mnenie [13.5K]

630 cherries

You can setup a ratio using $\frac{210}{3}=\frac{x}{9}$ and solve for x by multiplying 210*9 and dividing by 3 to get 630 cherries.

6 0

2 years ago

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi

Marrrta [24]

y = x - 2.....the slope here is 1. A parallel line will have the same slope

y = mx + b
slope(m) = 1
(2,-2)...x = 2 and y = -2
now we sub and find b, the y int
-2 = 1(2) + b
-2 = 2 + b
-2 - 2 = b
-4 = b

so ur parallel line is : y = x - 4

5 0

3 years ago

What else would need to be congruent to show that ABC=DEF by SAS?

KonstantinChe [14]

Answer:

Step-by-step explanation:

SAS = side-angle-side

This means that, in order to prove that the triangles are congruent, they must have two congruent sides with the angle between them to the same.

We know that sides AB, ED, AC, and DF are all congruent as they all have a single mark through them. From this, you can conclude that the triangles already share two sides. All we need now is the angles in between to be congruent. This means that angle A and angle D need to be congruent.

I hope this helps!

7 0

3 years ago

Solve for x , (2x-1)=5(x+1)<br><br>no links

kobusy [5.1K]

Answer:

x = -2

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers