Which equation represents the function on the graph?

Mathematics

1 answer:

Marrrta [24]2 years ago

6 0

Answer:

A. Sin 2x

Step-by-step explanation:

This is a trig function and has the shape of sine or cosine. Since it intersects at (0,0), it is likely a sine graph. A normal sine graph starts at (0,0), crests up at 1, and crosses back down at the x-axis at (3.14, 0). However, this graph starts at (0,0) and crosses back again at half that value. This graph has been horizontally compressed by multiplication of a number greater than 1. So this graph is Sin 2x.

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yuradex [85]

Hello from MrBillDoesMath!

Answer: The relationship is linear. The equation is y = 2x + 19

Discussion:

When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....

So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,

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so y = 2x + b. As the line passes through the point ( -7, 5)

5 = 2 (-7) + b or

5 = -14 + b or ( adding 14 to both sides)

5 + 14 = 19 = b.

Hence the equitation the line is y = 2x + 19

Thank you,

MrB

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