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Irina-Kira [14]
3 years ago
14

What is the range of the function f(x) = 2x + 4 when the domain is {-2,0,3}?

Mathematics
1 answer:
saw5 [17]3 years ago
6 0

Answer:

-1 to 4

Step-by-step explanation:

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Prove that:
devlian [24]

Answer:

<u>Identities used:</u>

  • <em>1/cosθ = secθ</em>
  • <em>1/sinθ = cosecθ</em>
  • <em>sinθ/cosθ = tanθ</em>
  • <em>cosθ/sinθ = cotθ</em>
  • <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
  • (1 - sinθ)/(1 + sinθ) =        
  • (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
  • (1 - sinθ)² / (1 - sin²θ) =
  • (1 - sinθ)² / cos²θ

<u>Square root of it is:</u>

  • (1 - sinθ)/ cosθ =
  • 1/cosθ - sinθ / cosθ =
  • secθ - tanθ
<h3>Question 2 </h3>

<u>The first part without root:</u>

  • (1 + cosθ) / (1 - cosθ) =
  • (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
  • (1 + cosθ)² / (1 - cos²θ) =
  • (1 + cosθ)² / sin²θ

<u>Its square root is:</u>

  • (1 + cosθ) / sinθ =
  • 1/sinθ + cosθ/sinθ =
  • cosecθ + cotθ

<u>The second part without root:</u>

  • (1 - cosθ) / (1 + cosθ) =
  • (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
  • (1 - cosθ)²/ (1 - cos²θ) =
  • (1 - cosθ)²/sin²θ

<u>Its square root is:</u>

  • (1 - cosθ) / sinθ =
  • 1/sinθ - cosθ / sinθ =
  • cosecθ - cotθ

<u>Sum of the results:</u>

  • cosecθ + cotθ + cosecθ - cotθ =
  • 2cosecθ
4 0
3 years ago
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On a coordinate plane, triangle D E F has points (negative 8, 8), (10, negative 2), and (negative 8, negative 8). Find the area
defon

Answer:

144

Step-by-step explanation:

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7 0
3 years ago
The gym is located 3 blocks to the left of the hospital (3,6) What are the coordinate point
Romashka-Z-Leto [24]
(6,6) this is the answer. add 3 to the x value
8 0
3 years ago
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Give an example of both rational and an irrational number that falls between 24 and 25
levacccp [35]

Both 24 and 25 are rational. They can be turned into a fraction by putting a 1 as the denominator.

6 0
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HELP!! Which truck pulled 2,000 pounds at the average<br> speed of 2 yards per minute?
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The correct answer it would be B

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