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
iren [92.7K]
3 years ago
10

Suppose f is the function f(x) = |x - 5| + 5 and f : Z -> Z

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

No, function is not one-to-one

No, function is not onto

Step-by-step explanation:

We are  given that a function

f:Z\rightarrow Z

f(x)=\mid{x-5}\mid +5

If function is one-to-one then different x have different image .

Domain =Z

Codomain=Z

When function is onto then range=Codomain

Substitute x=1

Then ,f(1)=\mid{1-5}\mid+5=4+5=9

When substitute x=9

Then , we get f(9)=\mid {9-5}\mid +5=4+5=9

Image of 1  and 9 are same hence, function is not one-to-one.

Negative elements of Z and Zero  has no preimage.Therefore, function is not onto.

You might be interested in
I think of a number,divide it by 4 then subtract 3. Give your answer in algebraic notation.
Vilka [71]
X/4 - 3

(*make sure to write the division in fraction form as shown for algebraic notation)
5 0
2 years ago
Which equation describes how the parent function y=x^3, is vertically streched by a factor of 4
Murljashka [212]

Answer:

y=4x^{3}

Step-by-step explanation:

It is known that,

<em>'Vertical stretch, stretches the function up and down towards the y-axis'.</em>

The general form of vertical stretch is given by 'kf(x)', where k>1 is the factor by which function is stretched.

As, we have the function y=x^{3} which is stretched by a factor of 4.

Thus, the new function will be y=4x^{3}.

Hence, the equation for the vertical stretch is y=4x^{3}.

8 0
3 years ago
What is 5
Sonja [21]

Answer:

A

Step-by-step explanation:

hope this helps:))

6 0
3 years ago
Working at home: According to the U.S Census Bureau, 41% of men who worked at home were college graduates. In a sample of 506 wo
sergejj [24]

Solution :

a). The point estimate of proportion of college graduates among women who work at home,

$\hat p =\frac{166}{506}$

  = 0.3281

99.5% confidence interval

$=\left( \hat p \pm Z_{0.005/2} \sqrt{\frac{\hat p (1- \hat p)}{n}} \right)$

$=\left( 0.3281 \pm 2.81 \sqrt{\frac{0.3281 \times  (1- 0.3281)}{506}} \right)$

$=(0.3281 \pm 0.0586)$

$=(0.2695, 0.3867)$

6 0
3 years ago
PLEASE HELP ME <br> I WILL MARK BRAINLIST!!!!
elixir [45]

Answer: A

Step-by-step explanation: The slope of perpendicular lines is opposite reciprocal. In this case the slope would be 4/3. Plug in for x and y, you get -7 for b.

  • y = mx +b
  • 9 = 4/3 (12) + b
  • 9 = 16 + b
  • -7 = b

Rewrite the equation --> y = 4/3x - 7

5 0
3 years ago
Other questions:
  • Which statements describe a residual plot for a line of best fit that is a good model for a scatterplot? Check all that apply. T
    8·2 answers
  • The given amount converted to units?
    12·1 answer
  • So for line of best fit, I got y=1.72x+73.35
    6·1 answer
  • you do not know how confused i am with this question, please put a little explanation to explain how you did it.
    11·1 answer
  • 3. Which unit of measure would you use to measure the distance from<br> Frisco to Dallas?
    8·1 answer
  • What is the purpose of learning polynomials?
    5·1 answer
  • Area of a rectangle<br> Equation
    8·2 answers
  • Solve each system by elimination.<br>-20x - 16y = -20<br>10x + 8y = 10​
    13·1 answer
  • What 2+2 x10+2X2+10=
    7·2 answers
  • PLEASE HELPPP I REALLY NEED IT ASAP :C<br><br> (the question is in the file)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!