Clovis measures its height h of the rocket above the sloping ground while it is going up. Consider the function h = f(x) = -2x2 + 84x, which relates the height h of the rocket above the sloping ground to its x-coordinate. Give a function x = g(h) relating the x-coordinate of the rocket to h and consider that function. Does it still work when the rocket is going down? Why or why not?
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Clovis is standing at the edge of a cliff, which slopes 4 feet downward from him for every 1 horizontal foot. He launches a small model rocket from where he is standing. With the origin of the
Clovis measures its height h of the rocket above the sloping ground while it is going up.
Consider the function h = f(x) = -2x2 + 84x, which relates the height h of the rocket above the sloping ground to its x-coordinate.
Give a function x = g(h) relating the x-coordinate of the rocket to h and consider that function. Does it still work when the rocket is going down? Why or why not?
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