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
worty [1.4K]
1 year ago
15

The graph of the function f(x) = –(x + 1)2 is shown. Use the drop-down menus to describe the key aspects of the function. The ve

rtex is the . The function is positive . The function is decreasing . The domain of the function is . The range of the function is .
Mathematics
1 answer:
eimsori [14]1 year ago
8 0

The graph of the function f(x) = -(x+1)^2 shows that the domain of the function f(x) = -(x+1)² is: -∞ < x < ∞. The range of the function is f(x) ≤ 0.

<h3>What is the graph of a function?</h3>

The graph of a function is the arrangement of all ordered pairs of the function. Typically, they are expressed as points in a cartesian coordinate system. The graph of f is the collection of all ordered pairings (x, f(x)) such that x lies inside the domain of f.

The graph of a function might similarly be defined as the graph of the equation y = f(x). As a result, the graph of a function is a subset of the graph of an equation.

From the given information: the graph of the function f(x) = -(x+1)² can be determined if the domain, the range, and the vertex of the function are known.

  • The domain of the function f(x) = -(x+1)² is: -∞ < x < ∞
  • The range of the function is f(x) ≤ 0
  • The x-intercepts and the y-intercepts are (-1,0) and (0, -1) respectively
  • The vertex is maximum at (-1,0)

Since the parabola curve from the graph shows that the graph is facing down, then the function is negative and decreasing.

Learn more about the graph of a function here:

brainly.com/question/24696306

#SPJ1

You might be interested in
Give the ordered pair of the 3rd Critical point.<br> Y = 4cos10(x - 12°) +16
lord [1]
So it would be x12 to the 2nd power, kinda hard to explain but i really hope this helped
6 0
3 years ago
Read 2 more answers
If y = 7x – 5, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?
Setler79 [48]
The third set, (0, -5) (2,9) (-3,-26)
3 0
3 years ago
Read 2 more answers
Find the following integral
ololo11 [35]

There's nothing preventing us from computing one integral at a time:

\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2

\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2

\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx

Expand the integrand completely:

x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x

Then

\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}

4 0
2 years ago
Which pair of triangles are congruent by ASA ?
Eddi Din [679]
Your answer is going to be letter D.)?
6 0
3 years ago
Given the points J(4,-7) and L(-2,13), find the coordinates of point k on JL such that the ratio of jk is 1:4
Irina-Kira [14]

Answer:

The coordinates of point k are (-2.8,-3)

Step-by-step explanation:

we shall use the internal division formula to find the coordinates of point k

Mathematically, the formula is as follows;

Let’s call the coordinates of point k (x,y)

(x , y) = mx2 + nx1/(m + n) , my2 + ny1/(m + n)

From the question;

m = 1 , n = 4

x1 = 4, x2= -2

y1 = -7 , y2 = 13

Substituting these values in the equation, we have the following;

1(-2) + 4(4)/(1 + 4) , 1(13) + 4(-7)/(1+4)

(-2+16)/5, (13 -28)/5

= -14/5, -15/5

= (-2.8, -3)

3 0
3 years ago
Other questions:
  • What is the value of x? Enter your answer in the box. x = NOTE: Image not drawn to scale.
    8·1 answer
  • What is the completely factored form of x4 + 8x2 – 9? (x + 1)(x – 1)(x + 3)(x + 3) (x+1)(x+1)(x+3){x^2+9} (x2 – 1)(x + 3)(x – 3)
    11·1 answer
  • Please answer this question.
    5·1 answer
  • What do you think is the answer to this question?
    12·1 answer
  • How do you write $2.161616 as a fraction and mixed number
    14·1 answer
  • Write this number in expanded form.<br>  <br> 354,782
    5·2 answers
  • How would you answer this?
    11·1 answer
  • Please help as soon as possible! THIS IS 45 POINTS
    12·1 answer
  • Using the interquartile range (IQR), determine if the data set contains any outliers. name the outlier or choose no outliers. {6
    6·2 answers
  • Below are the graphs of the functions y=2x and y3x What is the same about both lines?​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!