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? - When does
- 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?
- 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. - 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.
- 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.
- Find the exact solution for
*x*in the equation - What is the domain of the function
- Find the exact solution(s) to the equation
- Write
as one term.

- Find the exact value of
- Find the exact solution(s) to the equation
- Find the exact solution(s) to the equation
- 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

- 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? - Find the equation of the circle that passes through the points (2,1), (6,5) and (0,-5). Write the equation in standard form.
- Write the equation of the parabola that passes through the points (2,9), (-2,29) and (1,5). Write the equation in standard form.
- Solve the following set of equations for
*x*,*y*and*z*: - What is the exact maximum value of the function
- 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 of*a*,*b*and*c*are the exact values, not approximations.

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