Part 2 | Test 3 | Time: 3 hours |
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- Find a rational function with vertical asymptotes at
and a horizontal asymptote at
*y*=3.**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Find the slant asymptote to .
**a)**-
*f*(*x*)=*x*+5. **b)**-
*f*(*x*)=2*x*-1. **c)**- .
**d)**-
*x*+2. **e)**- None of the above.

- Find the equation of a polynomial with zeros
*x*=3 and*x*=3+2*i*.**a)**- .
**b)**- .
**c)**- .
**d)**- .

- Find all the real zeros of the polynomial
. What is the largest rational zero?
**a)**- 1.
**b)**- -1.
**c)**- 3.
**d)**- .
**e)**- None of the above.

- Divide by . What is the
quotient?
**a)**- 3
*x*-2. **b)**- 3
*x*+2. **c)**- 7
*x*+1. **d)**- 7
*x*-3. **e)**- None of the above.

- Multiple and write the result in standard form: (10-8
*i*)(2-3*i*).**a)**- 20-24
*i*. **b)**- 12-11
*i*. **c)**- -4-46
*i*. **d)**- 48-46
*i*. **e)**- None of the above.

- The path of a ball is given by
where

*y*is the height in feet and*x*is the horizontal distance in feet. Find the maximum height of the ball.**a)**- 905 feet.
**b)**- 50 feet.
**c)**- 30 feet.
**d)**- 800 feet.
**e)**- None of the above.

- Find the exact vertex of the parabola .
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Find the constant in the equation of the parabola with vertex
(3,4) with point (1,8).
**a)**- 13.
**b)**- 1.
**c)**- -14.
**d)**- 8.
**e)**- None of the above.

- What is the difference between the graphs of
*f*(*x*) and**a)**- The graph of
*g*(*x*) is the graph of*f*(*x*) shifted to the right 4 units, and up 3 units. **b)**- The graph of
*g*(*x*) is the graph of*f*(*x*) stretched downward 4 units, and 3 units to the right. **c)**- The graph of
*g*(*x*) is the graph of*f*(*x*) shifted to the left 4 units, and up 3 units. **d)**- There is not enough information to answer this question.
**e)**- None of the above.

- What is the remainder when you divide
using synthetic division?
**a)**- -13.
**b)**- 3.
**c)**- 35.
**d)**- -19.
**e)**- None of the above.

- Find the upper bound of the zeros of
using synthetic division.
**a)**- 15.
**b)**- 1.
**c)**- 3.
**d)**- 5.
**e)**- None of the above.

- Simplify and write in standard form
*a*+*bi*: . Find the value of a.**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- How many real solutions does
have?
**a)**- 1.
**b)**- 2.
**c)**- 3.
**d)**- 4.
**e)**- None of these.

- Find the domain of the function
.
**a)**- .
**b)**- (-1,1).
**c)**- All real numbers except .
**d)**- .
**e)**- None of the above.

- Find the horizontal asymptote of the function
.
**a)**- .
**b)**-
*y*=3. **c)**- .
**d)**-
*y*=-1. **e)**- None of the above.

- Find the vertical asymptote to the right of the x-axis of the
function .
**a)**-
*y*=3. **b)**- .
**c)**-
*x*=1. **d)**- .
**e)**- None of the above.

- Without using a calculator, approximate the value of
at
*x*=10,000,000,000.**a)**- 30,000,000,000
**b)**- 29,999,999,999
**c)**- 9
**d)**- 3
**e)**- None of the above.

- Let
*x*be the amount (in hundredths of dollars) a company spends on advertising, and let*P*be the profit, where . How much advertising will yield a maximum profit?**a)**- $43,000.
**b)**- $ 2,000.
**c)**- $63,000.
**d)**- $ 1,000.
**e)**- None of the above.

- Given , find .
**a)**- .
**b)**- .
**c)**- .
**d)**- 1.
**e)**- None of the above.

- Is a circle a function?
**a)**- No.
**b)**- Yes.
**c)**- Depends on the radius.
**d)**- Yes, if the center is at the origin.
**e)**- None of the above.

- Is a parabola a one-to-one function?
**a)**- No.
**b)**- Yes.
**c)**- Depends on the axis of symetry.
**d)**- Yes, if the vertex is at the origin.
**e)**- None of the above.

- The formula represents the volume
of a cone. Find
*x*in terms of the other variables.**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

- Factor . What is the sum of the factors?
**a)**- 3
*x*-9. **b)**- 3
*x*+9. **c)**- .
**d)**- .
**e)**- None of the above.

- On what interval(s) is the function decreasing?
**a)**- .
**b)**- .
**c)**- .
**d)**- .
**e)**- None of the above.

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