MATH_QUIZ

1. (10 pts) For each graph, is the graph symmetric with respect to the x-axis? y-axis? origin?(No explanation required. Just answer Yes or No to each question.)

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

(a) State the zero(s) of the function.  ________

(b)  Which of the following is true?    2. ______

      A.   f  is an even function.

      B.   f  is an odd function.

      C.   f  is both even and odd.

      D.   f  is neither even nor odd.

3. (10 pts)  Which of the following equations does the graph represent? Show work or explanation.       3. ______

4. (10 pts) Look at the graph of the quadratic function and complete the table.[No explanations required.]

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

   (a) Find the slope-intercept equation of the line passing through the two given points. Show work.

(b) Graph the line you found in (a), eitherdrawing it on the grid in the previous problem #3, or generating the graph electronically and attaching it.

(c) Compare your line for this problem, #4, with the line in the previous problem #3. Are the two lines parallel, perpendicular, or neither parallel nor perpendicular?(The terms parallel and perpendicular are discussed on pages 166 and 167.)No explanation required – just state the answer.

6. (10 pts) The number of guests g in a water park t hours after 9 am is given by                                                     g(t) = –32t² + 224t + 266 for  0 £t£ 8.  (t = 0 corresponds to 9 am)

Find  and interpret the average rate of change of g over the interval {t | 4 £t£ 7}  = [4, 7].

Show work.    

7. (10 pts) Luke wants to purchase custom-made mugs to advertise his business. Two companies offer different deals:

      Company A:  Pay a design fee of $50.00, plus $4.50 per mug

    or     Company B:  Pay a design fee of $92.00, plus $3.90 per mug

 (a) State a linear function f (x) that represents Company A's total charge for an order of xmugs.

 (b) State a linear function g(x) that represents Company B's total charge for an order of xmugs.

 (c) Luke wants to purchase 120 custom-made mugs, as cheaply as possible. With which company should he place his order? Show work/explanation.

(d) For what number of mugs is the total charge exactly the same for both companies? Show algebraic work/explanation.

(e) Fill in the blanks:

CompanyA is the cheaper option if  ________(choose lessor more) than______ (enter number)mugs are ordered.

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

Which graph (A, B, C, or D) represents the graph of  y =  f(x-1) -1 ?

EXPLAIN YOUR CHOICE.(Grid supplied for scratch work; You are NOT required to submit your own graph)

y = f (x)

      GRAPH A (below)                                                                       GRAPH B(below)

       GRAPH C(below)                                                                         GRAPH D(below)

9. (10 pts, no explanation required)

Consider the graph of the piecewise function y = f (x) pictured below.

(a)    State the value of f (-2).

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

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

(d) State the domain of the piecewise function.

(e) State the range of the piecewise function.

(f) State the interval(s) on which the function is increasing. That is, for what x-values is the function increasing? 

(g) State the interval(s) on which the function is decreasing. That is, for what x-values is the function decreasing? 

10. (10 pts) Life expectancy at birth is the estimated lifespan of a baby born in a particular year (given the conditions of that time period).  Based on data retrieved from http://www.indexmundi.com/facts/united-states/life-expectancy-at-birth the following chart of U.S. life expectancy for males has been prepared.

The regression line is y = 0.2052x  – 336.5, where x = birth year and y = U.S. life male expectancy, in years. The value of r² is 0.9809.

(a)  Use the regression line to estimate the U.S. life expectancy of a male baby born in 1970, to the nearest tenth of a year. Show some work.

(b)  Use the regression line to predict the U.S. life expectancy of a male baby born in 2020, to the nearest tenth of a year. Show some work.

(c)  What is the slope of the regression line and what are the units of measurement? In a sentence, interpret what the slope is telling us, in the context of this real-world application.

(d) What is the value of the correlation coefficient, r? Also, interpret its value: Looking at the graph and the size of r, do you judge the strength of the linear relationship to be very strong, moderately strong, somewhat weak, or very weak?