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lapo4ka [179]
2 years ago
5

PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS

Mathematics
1 answer:
Kitty [74]2 years ago
3 0

Answer:

D

Step-by-step explanation:

A, B, and C are not linear functions

D would be y=x/2

If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)

It's more obvious if you notice that y is half of x.

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The graph shows the amount of water in a sink after several minutes.
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Answer:

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A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
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Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

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  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
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The more general sine function is:

             y=Asin(Bx+C)+D

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  • Minimum: - A + D
  • Maximum: A + D
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  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
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  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
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  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

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