SHOW YOUR WORK ON THIS PAPER AND BE NEAT! 1. Which of the following graphs illustrates a one-to-one relationship? (1) ( 4 ) 2. Which of the following graphs does not represent that of a one-to-one function? (1) (4) 3. In which of the following graphs is each input not paired with a unique output? (1) 4. In which of the following formulas is the variable y a one-to-one function of the variable x? (Hint - try generating some values either in your head or using TABLES on your calculator.) (1) y=x (3) y -2x (2) y-1x (4) y - 5 5. Which of the following tables illustrates a relationship in which y is a one-to-one function ofx? (I) X X -2 0 APPLICATIONS 6. A recent newspaper gave temperature data for various days of the week in table format. In which of the tables below is the reported temperature a one-to-one function of the day of the week? x (3) x (4) X y Mon 75 Mon 75 Mon 58 Mor 56 Tue Tue Tue 58 Wed 65 Wed 68 Mon Mon 85 Thu 74 Thu 72 Tue 76 Tue 85 7. Physics students drop a basketball from 5 feet above the ground and its height is measured each tenth of a second until it stops bouncing. The height of the basketball, h, is clearly a function of the time, t, since it was dropped. (a) Sketch the general graph of what you (b) Is the height of the ball a one-to-one believe this function would look like. function of time? Explain your answer. 4 h (ft) 1 (sec) REASONING 8. Consider the function f(x) = round(x) , which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your