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kherson [118]
2 years ago
5

Can someone please help me find the domain, range, intercepts, and asymptotes pf this function?

Mathematics
1 answer:
marishachu [46]2 years ago
3 0
1) given function

y = - 2 ^ ( -x + 2) + 1

2) domain: domain is the set of the x-values for which the function is defined.

The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.

3) x-intercept => y = 0

=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1

=> - x + 2 = 0 => x = 2

The x-intercept is x = 0

4) y-intercept => x = 0

=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2)  1 = - (2)^(2) + 1 =- 4 + 1 = - 3

=> The y-intercept is - 3

5) limit when x -> negative infinite

Lim f(x) when x -> ∞ = - ∞

6) limit when x -> infinite

Lim f(x) when x - > infinite = 1

=> asymptote = y = 1

7) range is the set of values of the fucntion: y

Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1

Range (-∞,1)


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taurus [48]

Answer:

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66,6% = ⅔

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33,3% = ⅓

85% = 17⁄20

80% = ⅘

75% = ¾

90% = 9⁄10

20% = ⅕

10% = ⅒

Step-by-step explanation:

To convert from a fraction to a percentage, divide both the denominator and numerator to get a decimal point, then move the decimal point twice to the right, then attach the percentage symbol:

⅒ = 0,1 = 10%

⤻⤻

⅕ = 0,2 = 20%

⤻⤻

9⁄10 = 0,9 = 90%

⤻⤻

¾ = 0,75 = 75%

⤻⤻

⅘ = 0,8 = 80%

⤻⤻

17⁄20 = 0,85 = 85%

⤻⤻

_ _

⅓ = 0,3 = 33,3%

⤻⤻

_ _

⅔ = 0,6 = 66,6

All those bars above those digits are what are known as bar notation, indicating that digits repeat.

I am joyous to assist you anytime.

6 0
3 years ago
Which of the tables represents a function?<br><br> 1. Table A 2. Table B 3. Table C 4. Table D
rosijanka [135]

Table D because the  x values don’t repeat

7 0
2 years ago
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A back contains 120 marbles some are red and the rest are black They are 19 red marbles for every black marble How many red marb
egoroff_w [7]

Answer:

6.3 ?

Step-by-step explanation:

4 0
2 years ago
I don’t know how to do this. Can you help please help me ?
N76 [4]

Answer:

  • sin = -√3/2
  • cos = -1/2
  • tan = √3
  • sec = -2
  • csc = (-2/3)√3
  • cot = (√3)/3

Step-by-step explanation:

See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:

  sin(4π/3) = -√3/2

  cos(4π/3) = -1/2

  tan(4π/3) = sin/cos = √3

  sec(4π/3) = 1/cos = -2

  csc(4π/3) = 1/sin = -(2√3)/3

  cot(4π/3) = 1/tan = (√3)/3

_____

<em>Additional comment</em>

It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.

3 0
2 years ago
The minor arc measures of circle Z are shown in the figure.
DerKrebs [107]

The completed statement are:

  • Angle UZT is congruent to angle TZY.
  • Angle VZW is congruent to angle YZX.

<h3>What is the angle about?</h3>

Part A:

Angle UZT is congruent to angle TZY.

Using the image attached figure, we can see that:

∠UZT = 54°

∠TZY = 54°

Hence one can say that ∠TZY = ∠UZT are both congruent angles.

Part B:

Angle VZW is congruent to angle YZX.

Using the image attached attached, we can see that:

∠VZW = 71°

∠YZX = 71°

Hence, ∠YZX = ∠VZW are both  regarded as congruent angles .

Therefore, The completed statement are:

  • Angle UZT is congruent to angle TZY.
  • Angle VZW is congruent to angle YZX.

Learn more about Angles from

brainly.com/question/14684194

#SPJ1

6 0
1 year ago
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