Emma throws an object upward from a hill that is 64 feet high. The object has an

Question

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = - 16x^2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x. Which statements about this function are true? The function is a linear function. The function is a nonlinear function. The function has a constant rate of change. The function does not have a constant rate of change. The function is a decreasing function.

Explanation / Answer

It is a quadratic equation

Hence it is non linear

dy/dx = -32*x + 48

rate is dependent on x

so it doesn’t have constant rate of change

at x= 0, y = 64

at x=1, y = -16 + 48 + 64 = 96

So it is increasing as well

Answer:

The function is a non linear function

The function doesn’t have a constant rate of change

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