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
12345 [234]
3 years ago
14

The graph shows a vertical translation of y =

qrt[3]{x}" alt="\sqrt[3]{x}" align="absmiddle" class="latex-formula">
What is the range of the translated function?
{y|y < 0}
{y|y ≥ 0}
{y|y is a natural number}
{y|y is a real number}

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

  • Last option: {y|y is a real number}

Explanation:

The <em>range</em> of a real function is the set of the real numbers (values) that the function can return (the ouput of the function).

To figure out the range of a function, you first must figure out the domain.

The domain of the function   y=\sqrt[3]{x}  is all real values, since the cube root function is defined for all the real numbers.

Since this function is continuous (which the translation of the function shows graphically), and the function is defined for all negative and positive values, the range of   y=\sqrt[3]{x}  is all real numbers.

A vertical translation just slides the function vertically. Since the original function does not have either lower or upper bound, but the limits when x approaches ± ∞ are ± ∞, a translation will not modifiy the range.

Thus, <em>the range of the translated function</em> is (-∞, ∞).

That can also be written as <em>{y|y is a real number}</em>, which is read "y such that y is a real number", and is the last choice of the list.

You might be interested in
Anybody please help me over here
padilas [110]

Answer:

i agree

Step-by-step explanation:

because when you multply 3.141592654 times 5 you get 15.70796327.

8 0
3 years ago
Read 2 more answers
Would anyone like to solve this problem for me?
dalvyx [7]
The answer would be 24 pints
7 0
3 years ago
How do i graph negative square roots on a number line​
DerKrebs [107]

Answer:

see below

Step-by-step explanation:

On the real number line you can't

to graph them you have to make a Cartesian plane

with x= the real numbers

and y= the imaginary numbers

8 0
3 years ago
A + (B + C) = (A + B) + C <br> property
charle [14.2K]

Answer:

a+b

Step-by-step explanation:

math

8 0
3 years ago
Read 2 more answers
How many solutions does <br><img src="https://tex.z-dn.net/?f=y%20%3D%205x%20-%2010%20%20%5C%5C%20y%20%3D%2010%20%2B%20x" id="Te
Archy [21]
I can tell you that you that x=5 and y=15
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which expressions is equivalent to 6x^2-19x-55
    6·1 answer
  • What is the mean of the data without the outlier included?
    14·1 answer
  • Determine the domain and range of f(x) = |2x + 1|
    5·1 answer
  • Jay is letting her bread dough rise. After three hours, her bread dough is 11/5 of its original size.
    7·1 answer
  • Will mark as brainliest<br><br> ...
    7·2 answers
  • Need help with #5 please
    14·1 answer
  • Jeyniel wrote the expression x^3/y^2. If x=4 and y=2; how much is the value of the expression? *
    11·2 answers
  • Question 14
    7·1 answer
  • Marcus said the ratio of the number of hours he spent doing homework to playing basketball was 2:3. Which statement describes th
    15·1 answer
  • I need help with that
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!