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
grandymaker [24]
3 years ago
10

Starting with the graph of a basic function, graph the following function using the techniques of shifting, compressing, stretch

ing, and/or reflecting. Find the domain and range of the function. f(x) = -(x + 1)3-1

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

Domain and range of the function is all real number.

Step-by-step explanation:

The given function is

f(x)=-(x+1)^3-1                .... (1)

It is a cubic function.

The parent cubic function is

g(x)=x^3

The translation is defined as

h(x)=k(x+a)^3+b                .... (2)

where, k is stretch factor, a is horizontal shift and b is vertical shift.

If |k|>1, then the graph of g(x) stretch by factor k and if 0<|k|<1

, then the graph of g(x) compressed by factor k. If k<0, then graph of g(x) reflects across x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (1) and (2), we get

k=-1<0, so the graph reflects across x-axis.

a=1>0, so the graph of parent function shifts 1 units left.

b=-1<0, so the graph of parent function shifts 1 units down.

Domain and range of cubic polynomial is all real number. Since the given function is a cubic polynomial, therefore domain and range of the function is all real number.

You might be interested in
allenbrights electronics is having a 25% off sale. If the ratio is sale priced at $135 what is the regular price?
Julli [10]
After sale, the price is $135
75% is $135

so 100%
(135/75) * 100
(135/3) * 4
45 * 4
$ 180
6 0
3 years ago
Bradon played basketball he made 3/5 of the points the 1st game the team made 60 points and 40 points in the second game how man
Leno4ka [110]

Answer:

I dont know sorry

Step-by-step explanation:

8 0
3 years ago
10% of ________ is 7<br> 25% of ________ is 6
GrogVix [38]

Answer:

I got

10% of 70 is 7

5 0
3 years ago
Read 2 more answers
What is the perimeter of the rectangle in the coordinate plane?
snow_lady [41]
26 units is the answers for this questions. To find the perimeter, put a slash in each square. The only squares that will get 2 slashes is the corners
3 0
3 years ago
Read 2 more answers
The area of a triangle is 45.5 cm2 and the base is 10 cm.
blondinia [14]
The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h

Now solve for h
Divide by 5 to get h alone:
9.1=h

Your height is 9.1cm
Hope this helps :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Rafael Drive 405 miles using 20 gallons of gas. At that rate, how many gallons of gas would he need to drive 243 miles?
    14·1 answer
  • Evaluatethe expression 7.5-3.2+4(raised to the third power) / 2
    9·1 answer
  • The bank charges 4 dollars a day for accounts under $100. Lisa's account had a balance of $15. What would the y-intercept be?
    7·1 answer
  • You need to put your reindeer ezekiel, lancer, rudy, and jebediah, in a single file line to pull your sleigh. However, jebediah
    5·1 answer
  • PLEASE HELP 25 POINTS
    5·1 answer
  • What is the length of a desk in centimeters ​
    7·1 answer
  • Geometry triangle help pls
    12·1 answer
  • Mean:<br><br> Median:<br><br> Mode:<br><br> Range:
    11·1 answer
  • What is the application of inverse matrix?
    8·1 answer
  • Write an equation in slope-intercept form of the line that passes through (6.-1) and (3.-7).
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!