Part 3 | Test 1 | Time: 3 hours |
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- (1,
*e*) is a point on the graph of . If the graph of*f*(*x*) is shifted so that it is superimposed on the graph of*f*(6-*x*)+9, where is the point (1,*e*) located after the shift?

**Answer:**The point is (5,*e*+9). - When does

**Answer:**They are equal when*x*>3. - A total of $1,000 is invested at 10%, compounded monthly for
five years. What is the balance after five years? What is the
effective rate?

**Answer:**The balance after 5 years is approximately $1,645.31. The effective rate is 10.47%. - If you start an experiment with four cells that double every
minute, write an equation with base e that describes the number of
cells present at any time.

**Answer:**The equation is . - If you start an experiment with four cells that double every
minute, write an equation with base 6 that describes the number of
cells present at any time.

**Answer:**The equation is . - Find the inverse of the function . If the
domain needs to be restricted to find the inverse state the restricted
domain. If the domain does not need to be restricted to find the
inverse, explain.

**Answer:**with domain:*x*>2. The domain of*f*does not need to be restricted since the function is already a one-to-one function. - Find the exact solution for
*x*in the equation

**Answer:**The exact solution is . - What is the domain of the function

**Answer:**The domain is the set . - Find the exact solution(s) to the equation

**Answer:**There is no solution because of domain restriction. - Write
as one term.

**Answer:**. - Find the exact value of

**Answer:**The exact value is 6. - Find the exact solution(s) to the equation

**Answer:**The exact solution is . - Find the exact solution(s) to the equation

**Answer:**The exact solution is*x*=6. - Which balance is largest after five years?
- $ 1,000 invested at 10 % compounded continuously.
- $ 1,000 invested at 10.3 % compounded monthly.
- $ 1,000 invested at 10.1 % compounded weekly

**Answer:**The largest balance is $1,000 at 10.3% compounded monthly. - On a college campus of 5,000 students, one student returned from
vacation with a contagious flu virus. The spread of the virus
through the student body is given by
where

*y*is the total number of students infected after*t*days. The college will cancel classes when 40% or more of the students are ill. After how many days will the college cancel classes?

**Answer:**Approximately after 10 days. - Find the equation of the circle that passes through the points
(2,1) (6,5) and (0,-5). Write the equation in standard form.

**Answer:**. - Write the equation of the parabola that passes through the
points (2,9), (-2,29) and (1,5). Write the equation in standard form.

**Answer:**. - Solve the following set of equations for x, y and z:

**Answer:**,*y*=22 and . - What is the maximum value of the function

**Answer:**The maximum value is*f*(*x*)=39. - What is the equation of the line that passes through the points
of intersection of the two circles
Write the equation of the line in the form

*ax*+*by*+*c*=0, where the values a, b, and c are the exact values, not approximations.

**Answer:**.

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