FOR PRATEEK_AGR ONLY

Exam

95 ( /100) Exam 2 a e:
1. Let [(x) = 3(4Y,
a.} Find f{2} c.} What is the y-

intercept?

(
!

2. Find the exponential function that contains the points (1,6) and (3,54), round your result

to two decimal places. Give your results in the form!{x}=abx, show your work for full

credit.

3. A population of 20 flies doubles every day. Let f(t) be the number of flies and t be the
number of days. F-indan equation to represent this situation. Using the equation found

find the population of flies after 7 days.

John invested $300 at a5.2%compounded interest. LetP(t) be the value of the savingsafter t
years. Findanequation for P. Howmuch isthe investment worth after 10 years.

5. Solve.

a.) n3 = 64 b.) x6 = 64 c.) yl/3 = 3 d.) r2 = 16

6. Find the value of the following (round to the tenths decimal place):

a.) Log(20) b.) l09a(64) c.) In(6) d.}e6

7. If a parabola has the x-intercepts (-2,0) and (1,0), what is the x-coordinate of the vertex?

8. For the function [(x) = 2(x – 3)2 + 2, determine the location of the vertex and the x
and v-intercepts.

9. Simplify each of the radical expressions (leave asan exact value). Check your results

using a calculator.

a.) f28 b.) .,f8O~36

10. Find all complex or real number solutions.
a.) (x + 5)2 = 3 b.) 2X2 +8 = 0

11. (extra credit: 2pts each)
a.) Calculate the discriminant by hand and state the number and type of solutions to

the equation X2 + 2x = 2

b.) Calculate the discriminant by hand and state the number and type of solutions to
the equation X2 + 3x + 4 = 0

c.) Solve X2 + 2x = 2, using the quadratic formula (show as much work as

possible). Remember the quadratic formula is: X = -b±J~~-4ac.