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.)(a)Symmetric with respect to thex-axis? ____y-axis? ____origin? ____(b)Symmetric with respect to thex-axis? ____y-axis? ____origin? ____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. ______A.B.C.D.4. (10 pts) Look at the graph of the quadratic function and complete the table.[No explanations required.]GraphFill in the blanksEquation(a) State thevertex:____________(b) State therange:_____________(c) State the interval on which the function is increasing:_____________(d) The graph represents which of the following equations?Choice:____A. y = x2+4x 3B. y = 2×2 x + 3C. y = x2 2x 3D. y = x2+ 2x 35. (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 mugor 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?
