Part 2 | Test 3 | Time: 1 hour |
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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.

**Answer:** - 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
*f*(*x*).

**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).

- Determine the right-hand and left-hand behavior of the graph of
- 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

**Answer:** - 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.

**Answer:**

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