Question

The above rollercoaster graph needs a function to go with it. Select the
correct values that make the model begin at (0,10) and end at (15,0) with
a local minimum at (6,2) and a local maximum at (10,7).

Answer 1

The values that correctly models the scenario of the rollercoaster graph will be:

• Red (x) = 6 + 4 × cos(πx/6) if 0 ≤ x < 6

• Green (x) = -2.5 × cos(π(x - 6)/4) + 4.5
• Purple (x) = 3.5 - 3.5 × sin(π(x - 12.5)/5)

How does the graph model the situation

From the complete question,

For Red (x) = 6 + 4 × cos(πx/6) if 0 ≤ x < 6

where at x = 0, Red(x) = 10,

at x = 5, Red(x) = 2.5

For Green (x) = -2.5 × cos(π(x - 6)/4) + 4.5       if    6 ≤ x < 10

where at x = 10, Green (x) = 7,

at x = 6, Green (x) = 2.0

For Purple (x) = 3.5 - 3.5 × sin(π(x - 12.5)/5) if 10 ≤ x ≤ 15

where at x = 10, Purple (x) = 7,

at x = 15, Purple (x) = 0

Learn more about graphs on:

https://brainly.com/question/25020119