Answer:
a) The domain of the function is . , , b)The range of the function is . , , c) The ball is 73 meters off of the ground at x = 3 seconds.Step-by-step explanation:The complete statement is: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function represents this situation where x is time and y is the distance off of the ground. a) What domain does the function make sense? b) What range does the function make sense ? c) How far off the ground is the ball at time x = 3 seconds?a) Let and be the time, measured in seconds, and the distance of the ground, measured in meters, respectively. Time is a positive variable, so domain corresponds to the interval when and . That is: Therefore, the domain of the function is . , b) The distance off of the ground is also a positive variable, where ball is thrown upward at a height of 100 meters and hits the ground at a height of 0 meters. Hence, the range of the function is . , c) The distance of the ball off of the ground at x = 3 seconds is found by evaluating the function:The ball is 73 meters off of the ground at x = 3 seconds.
Explanation: