MATH_QUIZ


1. (10 pts) For each graph, is the graph symmetric succeeding a while regard to the x-axis? y-axis? commencement?(No exposition required. Upright reply Yes or No to each scrutiny.)

(a)

q3Mgraph.gif

 

Symmetric succeeding a while regard to the

 

x-axis? ____  

 

y-axis? ____ 

 

origin? ____

 

(b)

q3oddwave.gif

 

Symmetric succeeding a while regard to the

 

x-axis? ____  

 

y-axis? ____ 

 

origin? ____

 

 

2. (10 pts) Let .     (no exposition required)

 

(a) Say the nothing(s) of the duty.  ________

 

(b)  Which of the forthcoming is gentleman?    2. ______

      A.   f  is an well-balanced duty.

      B.   f  is an odd duty.

      C.   f  is twain well-balanced and odd.

      D.   f  is neither well-balanced nor odd.

 


 

3. (10 pts)  Which of the forthcoming equations does the graph illustrate? Show achievement or exposition.       3. ______

 

 

 

A. 

 

 

B.  

 

 

C.  

 

 

D. 

 

 

 

 

q3LinesOL2.gif

 

 

 

 

 

4. (10 pts) Look at the graph of the quadratic duty and perfect the consultation.[No expositions required.]

Graph

Fill in the blanks

Equation

 

quadupgrid.png

 

(a) Say thevertex:

 

____________

 

(b) Say therange:

 

_____________

 

(c) Say the meandate on which the duty is increasing:

 

_____________

 

(d) The graph illustrates which of the forthcoming equations?   

 

Choice:____

 

 

A.    y  =  –x2+4x– 3

 

B.    y  =  –2x2x + 3

 

C.    y  =  x2 – 2x– 3

 

D.    y  =  x2+ 2x– 3

 


 

5. (10 pts) Consider the points(– 3, 7) and (3, –1).

   (a) Find the slope-intercept equation of the verse latter through the two consecrated points. Show achievement.

 

 

 

 

 

 

 

 

(b) Graph the verse you rest in (a), eitherdrawing it on the grid in the preceding example #3, or generating the graph electronically and attaching it.

(c) Compare your verse for this example, #4, succeeding a while the verse in the preceding example #3. Are the two verses concurrent, upright, or neither concurrent nor upright?(The provisions concurrent and upright are discussed on pages 166 and 167.)No exposition required – upright say the reply.

 

 

 

6. (10 pts) The reckon of guests g in a instil precinct t hours succeeding 9 am is consecrated by                                                     g(t) = –32t2 + 224t + 266 for  0 £t£ 8.  (t = 0 corresponds to 9 am)

Find  and interpret the mean scold of vary of g aggravate the meandate {t | 4 £t£ 7}  = [4, 7].

Show achievement.    

           

 


 

7. (10 pts) Luke wants to dissipation custom-made mugs to proclaim his vocation. Two companies extend incongruous deals:

      Troop A:  Pay a scheme fee of $50.00, plus $4.50 per mug

    or     Troop B:  Pay a scheme fee of $92.00, plus $3.90 per mug

 

 

 (a) Say a versear duty f (x) that illustrates Company A's sum entrust for an manage of xmugs.

 

 

 

 (b) Say a versear duty g(x) that illustrates Company B's sum entrust for an manage of xmugs.

 

 

 

 (c) Luke wants to dissipation 120 custom-made mugs, as cheaply as practicable. Succeeding a while which troop should he assign his manage? Show achievement/explanation.

 

 

 

 

 

 

 

 

 

(d) For what reckon of mugs is the sum entrust precisely the corresponding for twain companies? Show algebraic achievement/explanation.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(e) Fill in the blanks:

CompanyA is the cheaper discretion if  ________(pick-out lessor more) than______ (invade reckon)mugs are manageed.

 


 

8. (10 pts) A graph of y = f(x) follows. No formula for f is consecrated.                  7. _______

Which graph (A, B, C, or D) illustrates the graph of  yf(x-1) -1 ?

EXPLAIN YOUR CHOICE.(Grid replete for dabble achievement; You are NOT required to succumb your own graph)

 

 

 

y = f (x)

               

 

 

 

 

 

 

 

 

 

 

 

 

 

 

      GRAPH A (below)                                                                       GRAPH B(below)

           

 

 

 

 

 

 

 

 

 

 

 

 

 

 

       GRAPH C(below)                                                                         GRAPH D(below)

               

 

 

 

 

 

 

 

 

 

 

 

 


 

 

9. (10 pts, no exposition required)

Consider the graph of the piecewise duty y = f (x) pictured adown.

 

q3piecewiseOL4.gif

 

(a)    State the appreciate of f (-2).

 

 

 

(b) Say the x-intercept(s), if any.

 

 

 

(c) Say the y-intercept(s), if any.

 

 

 

(d) Say the territory of the piecewise duty.

 

 

 

(e) Say the ramble of the piecewise duty.

 

 

 

(f) Say the meantime(s) on which the duty is increasing. That is, for what x-values is the duty increasing? 

 

 

 

(g) Say the meantime(s) on which the duty is decreasing. That is, for what x-values is the duty decreasing? 

 


 

10. (10 pts) Society trust at extraction is the honord societyspan of a baby born in a point year (consecrated the provisions of that date conclusion).  Based on grounds retrieved from http://www.indexmundi.com/facts/united-states/life-expectancy-at-birth the forthcoming chart of U.S. society trust for males has been dexterous.

 

The retreat verse is y = 0.2052x  – 336.5, where x = extraction year and y = U.S. society manly trust, in years. The appreciate of r2 is 0.9809.

 

(a)  Use the retreat verse to honor the U.S. society trust of a manly baby born in 1970, to the rectidirect tenth of a year. Show some achievement.

 

 

 

(b)  Use the retreat verse to foretell the U.S. society trust of a manly baby born in 2020, to the rectidirect tenth of a year. Show some achievement.

 

 

 

(c)  What is the slope of the retreat verse and what are the units of mass? In a doom, decipher what the increase is powerful us, in the treatment of this real-world collision.

 

 

 

 

 

(d) What is the appreciate of the mutuality coefficient, r? Also, decipher its appreciate: Looking at the graph and the greatness of r, do you arbiter the strength of the versear relationship to be very potent, tolerably potent, slightly irrepressible, or very irrepressible?