Hey there! I just need help with my math homework assignment! Please see the attachments! All work must be shown as well! I need it as soon as possible!

MAT 136  Fall 2016                                                                                                        Name_____________________________________

SUNY General Education Assessment

 

Circle the best answer.  Calculators are not permitted.

 

1.        Of the values below, which is the best estimate of the exact value of:    ?  (circle one)

a)      0                     b) 4.6                    c)  5.7                   d)  12.5

 

 

 

 

2.       The population of a city in 2016 is 150,000.   The population is expected to follow an exponential growth model with a doubling time of 20 years.   Of the values below, which is the best estimate for the population of the city in the year 2035?

 

a)      135,000       b)  200,000        c) 290,000          d) 325,000

 

 

3.       Given the graph of y = f(x) shown below, choose the best estimate for

 

a)      0.6                  b)  2.5                   c)  -0.5                  d) undefined

 

 

 

 

 

(continues on the back)

 

4.       A homework problem asked students to find all the zeros of a polynomial.  A computer graph of the polynomial showed that there were two x-intercepts of, (-2, 0) and (3, 0).  Why can’t we necessarily say -2 and 3 are the only zeros?

 

a)      Because there could be other zeros in the complex number system.

b)     Because the zeros are the y-intercepts, not the x-intercepts.

c)      Because one of these zeros might be extraneous.

d)     We actually can say that these are the only zeros with certainty.

 

 

 

5.       A student was provided with the function,   .

The student cancelled the common factors of x and x-5 and rewrote the function,  as:

 

 .      What are the limitations, if any, in terms of restricted x-values here for using the simplified version?

 

a)      This is okay to do for all real numbers.

b)     The restrictions are

c)      The restriction is

d)     The limitation/restriction is none of the above.

 

6.       Tim was trying to simplify a difference quotient to prepare for his final exam.  He remembered his teacher saying something like, “try to simplify the problem enough so that you have ‘cancelled’ the h in the denominator”.  Look at Tim’s work below and if there is an error, find it:

 

                         

 

a)      There is no error here.

b)     Tim forgot to include the 1 in the denominator of his final answer.

c)      Tim removed an h in just one term, not as a common factor.

d)     Tim did not find the f(x+h) portion correctly but did cancel correctly.

 

 

 

Attachments:

• 1502529581-20161124003813math_homework_8.docx