Name:______Date:______

HW-Exponential Growth and Decay

  1. A townhouse in San Francisco was purchased for $80,000 in 1975. The appreciation of the building is modeled by the equation: A = 80000(1.12)t, where t represents time in years.

a)Based upon the formula A = 80000(1.12)t, , what is the rate of increase?

b)What will the house be worth in 1981?

2.The Franklins inherited $3,500, which they want to invest for their child’s future college expenses. If they invest it at 8.25% with interest compounded monthly, determine the value of the account, in dollars and cents, after 5 years.

3.The parents of twin boys started a college fund when the boys were 5 years old.They decided to invest $6,000 into an account that compounds quarterly at a rate of 8.6% annually.

4.Melanie places $1,500 in an investment account earning an annual rate of 6.5%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, that Melanie will have in the account after 15 years.

5.Claudia invested $12,000 at an interest rate of 4.5% compounded monthly. How long will it take for her money to double?

  1. Which is the equation of the axis of symmetry of the graph of the equation y = x2 − 3x − 6?
  1. Solve the equation by completing the square. If necessary, express your answer in simplest radical or form.
  1. Simplify

HW-Solving Exponential Equations

Solve the following equations. Be sure to check your solution(s)!

  1. Write the equation of the parabola who has a vertex at and a focus at. What is the equation of the directrix?

HW-Graphing Exponential Functions

  1. The graph of the equation , lies in quadrants

(1) I and II(2) II and III(3) III and IV(4) I and IV

  1. If .

(1) -25(2) -10(3) (4)

  1. If , what x-value would satisfy the equation ?

(1) 16(2) 8(3) 3(4) 4

  1. Which of the equations is an exponential function?

I. II.

(1) I(2) II(3) I and II(4) neither of these

  1. In which quadrants will the graph of lie in?

(1) I and II(2) II and III(3) III and IV(4) I and III

  1. In which quadrants will the graph of lie in?

(1) I and II(2) II and III(3) III and IV(4) I and III

  1. What is the range of the equation ?

(1) (2) (3) all real numbers(4) all integers

  1. What is the domain of ?

(1) (2) (3) all real numbers(4) all integers

  1. The graph of the equation intersects

(1) neither the x-axis nor the y-axis(3) the x-axis and the y-axis

(2) the x-axis, only(4) the y-axis, only

Review Topics:

1. Which equation represents a parabola with a focus of and a directrix of ?

1) /
2) /
3) /
4) /

2. The solutions to the equation are

1) /
2) /
3) /
4) /

3. Write in form, where y is a real number.

4. Use an appropriate procedure to show that is a factor of the function . Explain your answer.

5. Solve algebraically for all values of x: