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Card Sharks To get the first chance to run the cards you must hit your buzzer (your desk) and get the question asked correct. If the answer is incorrect your opponents will have the opportunity to steal. If the answer is still incorrect it will go back to the entire team to steal and continue in that fashion. -Good Luck to all Contestants
Question #1 Find the slope of the line passing through the points (-2, 2)and (1, 3).
Question #2 Find an equation for the line passing through the points (3,-2) and (4,-5). Be able to sketch a graph of the line.
Question #3 Find an equation of the line that passes through the point (-1,5) and has slope of –3. Be able to sketch a graph of the line.
Question #4 Find the slope-intercept form of the line that passes through the point (-3,2) and is perpendicular to 3x+5y=7.
Question #5 Does the equation represent y as a function of x?
Question #6 Evaluate the function at the points x =0, x =2, and x =4.
Question #7 Find the domain of the function .
Question #8 Find the domain of the function .
Question #9 Use a graphing utility to sketch the graph of the function and determine if the function is even, odd, or neither.
Question #10 Determine the open interval(s) on which the function is increasing.
Question #11 During a 24-hour period, the temperature y (in degrees Fahrenheit) of a certain city can be approximated by the model where x represents the time of day, with x = 0 corresponding to 6 a.m. Approximate the maximum and the minimum temperatures during this 24-hour period.
Question #11 During a 24-hour period, the temperature y (in degrees Fahrenheit) of a certain city can be approximated by the model where x represents the time of day, with x = 0 corresponding to 6 a.m. Approximate the maximum and the minimum temperatures during this 24-hour period.
Question #12 Compare the graph of with the graph of .
Question #13 Compare the graph of with the graph of .
Question #14 Find if and . What is the domain of ?
Question #15 Find f/g if and . What is the domain of f/g?
Question #16 Show that and are inverse functions algebraically and graphically.
Question #17 Find the inverse of . Graph f(x) and in the same viewing rectangle. Give the domain and range of each.
Question #18 Use a graphing utility to find the least squares regression line for the points (-1,0), (0,1), (3,3), and (4,5). Graph the points and the line. Use the regression line to estimate f(22).
Example 9 For .