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- The height of a projectile shot vertically upward from the
ground with an initial velocity of 128 feet per second is given by the
formula where t equals the time in seconds and
h(t) equals the height above the ground at time t. What is the
maximum height attained by the projectile?
Answer: The maximum height attained by the projectile is 256 ft.
- Find a polynomial function with real coefficients that has 3 and
1+i as zeros.
- Solve the following inequality for x:
Answer: The solutions for x are contained in the intervals
- Find all the real zeros of the polynomial
Answer: The solutions are: x=1, x=2, and
- Given the function where
a, b, c, d, e and f are integers and a>0,
- Determine the right-hand and left-hand behavior of the graph of
Answer: The graph of f(x) approaches on the left and on the right.
- If -5 and 5 are zeros of f(x), and if f(-2)=12, f(0)=-18,and
f(2)=50, how many real zeros does the function f(x) have?
Answer: The function has at least four distinct real zeros. If counted according to multiplicity, the function has five real roots (x=5 might be a double root).
- Find all vertical and horizontal asymptotes for the graph of the
following function and graph the function.
Answer: The horizontal asymptote is y=0, and the vertical
asymptotes are x=6, and x=0.
- Find the partial fraction decomposition for
- Find the quadratic function whose graph has its vertex at (-1,8)
and passes through the point (1,-4).
Answer: The function is .
- Sketch the graph of , showing clearly all
x-intercepts and y-intercepts.
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Mon Jun 30 12:25:36 MDT 1997
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