Which of the following summarizes the end behavior of the function g(x) = 4x2 - x?
1 answer:
Answer:
see the explanation
Step-by-step explanation:
we know that
The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity
In this problem we have
This is a vertical parabola open upward
The vertex is a minimum
so
as x approaches positive infinity ----> the value of g(x) approaches positive infinity
as x approaches negative infinity ----> the value of g(x) approaches positive infinity
f(x)→+∞, as x→−∞
f(x)→+∞, as x→+∞
see the attached figure to better understand the problem
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A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj .
To Find :
A. The vector position of the particle at any time t .
B. The acceleration of the particle at any time t .
Solution :
A )
Position of vector v is given by :
B )
Acceleration a is given by :
Hence , this is the required solution .