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Design a 5 point graph that looks like a rollercoaster using prewise function -t

ID: 3141366 • Letter: D

Question

Design a 5 point graph that looks like a rollercoaster using prewise function

-the graph must be differentiable and continuous at all points of domain -their must be at least 1 quadratic, 1 trigonometric function, and 1 exponential/logarithmic function -the roller coaster will start at the function y= 2x + 50 when x is less than or equal to 0 (this is the starting ramp) -the rollercoaster must end somewhere on the line of y=0 -the roller coaster is not allowed to go back above the height it started (y=50) -add a loop to rollercoaster if possible


Design a 5 point graph that looks like a rollercoaster using prewise function

-the graph must be differentiable and continuous at all points of domain -their must be at least 1 quadratic, 1 trigonometric function, and 1 exponential/logarithmic function -the roller coaster will start at the function y= 2x + 50 when x is less than or equal to 0 (this is the starting ramp) -the rollercoaster must end somewhere on the line of y=0 -the roller coaster is not allowed to go back above the height it started (y=50) -add a loop to rollercoaster if possible


Design a 5 point graph that looks like a rollercoaster using prewise function

-the graph must be differentiable and continuous at all points of domain -their must be at least 1 quadratic, 1 trigonometric function, and 1 exponential/logarithmic function -the roller coaster will start at the function y= 2x + 50 when x is less than or equal to 0 (this is the starting ramp) -the rollercoaster must end somewhere on the line of y=0 -the roller coaster is not allowed to go back above the height it started (y=50) -add a loop to rollercoaster if possible




-the graph must be differentiable and continuous at all points of domain
-the graph must be differentiable and continuous at all points of domain -their must be at least 1 quadratic, 1 trigonometric function, and 1 exponential/logarithmic function -the roller coaster will start at the function y= 2x + 50 when x is less than or equal to 0 (this is the starting ramp) -the rollercoaster must end somewhere on the line of y=0 -the roller coaster is not allowed to go back above the height it started (y=50) -add a loop to rollercoaster if possible


Explanation / Answer

The Rollercoaster function can be initially as y = 2x+ 50 x<= 0 y = 50 when x = 0

y = ax2 + b so that y=50 when x=0

y = ce-d.x

This is to be refined further .