2. Let . (no explanation required) (a) State the zero(s) of the function. ________ (b) Which of the following is true? 2. ______ A. is an even function. B. is an odd function. C. is both even and odd. D. is neither even nor odd. 3. (10 pts) Which of the following equations does the graph represent? 3. ______ 5. (10 pts) Consider the points( 3, 7) and (3, 1). (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. 6. (10 pts) The number of guests in a water park hours after 9 am is given by ( ) = 32 + 224 + 266 for 0 8. ( = 0 corresponds to 9 am) and the average rate of change of over the interval { | 4 7} = [4, 7]. 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 Company Company (c) Luke wants to purchase 120 custom-made mugs, as cheaply as possible. With which company should he place his order? (d) For what number of mugs is the total charge exactly the same for both companies? (e) Fill in the blanks: 8. (10 pts) A graph of = ( ) follows. No formula for is given. 7. _______ Which graph (A, B, C, or D) represents the graph of ? 9. (10 pts, explanation require
d) Consider the graph of the piecewise function = ( ) pictured below. (a) State the value of ( 2). (b) State the -intercept(s), if any. (c) State the -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 -values is the function increasing? (g) State the interval(s) on which the function is decreasing. That is, for what -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 the following chart of U.S. life expectancy for has been prepared. The regression line is = 0.2052 336.5, where = birth year and = U.S. life male expectancy, in years. The value of 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 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 ? Also, : Looking at the graph and the size of , do you judge the to be very strong, moderately strong, somewhat weak, or very weak?