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1. Consider the function whose input value is time of day and whose corresponding output value is temperature at that time of day, rounded to the nearest degree. Is this a one-toone function? Explain. 2. Consider the function whose input value is a date and whose corresponding output value is the price of gold, rounded to the nearest dollar. Is this a one-to-onc function? Explain. 9 . 3. The function f(:c) = 3.73 -+~ 32 converts Celsius temperature, a, to Fahrenheit. at Find the inverse of the function f (x) b. What is f_1{17)? 4. The function ue) = 0.13 + Sldescribcs the number of games won by a major league baseball team, where x is a number of runs scored. a. Find the inverse of the function an) b. What is f'1 ((100))? 5. Suppose RU} 2 3t + 2 is a function that gives the radius ofa circular oil spill at 1: minutes. Suppose Afr) is the formula for area of a circle with radius r. a. Find an expression for A(R(t)). b. Interpret the meaning of A[R(t)) in a complete sentence. 6. Suppose R(t) : t + 2 is a function that gives the radius (in millimeters) ofa circular screen saver after t seconds. Suppose .40\") is the formula for area of a circle with radius r. a. Find an expression for A(R(t)). b. Interpret the meaning of A(R(t)) in a complete sentence. 7. Use function composition to determine if the following functions are inverses: f(ll:) = 39: + a 1 9(a): 33+5' 8. Use function composition to determine if the following functions are inverscs: f(a:) : 7m + 1, m i 1 ratio) 7 - 9. Graph the following: a) f(x) = J37 + 2; b) g(m) 2 x/m- 10. Graph the following: a) re) = \"; h) 9(3) = \\/:E. 11. Find the domain of each function listed: a) re) : fa? + 2; b) g(:.c) = (m. 12. Find the domain of each function listed: a) f(:c) : \\/5:'; b) 9(1) 2 \\/:a":. 13. Graph the function f(:c) 2 Wm * 2 l4. Graph the function f($) = \\3/3 + I. 15. Find the domain ofthe function f(m) = x/acz * 5. 16. Find the domain of the function re) I MxT-rQ. 17. Find the domain ofthe function f(2} : x/wi' ; .122 ~ mi 1. 18. Find the domain ofthe function f(a:) = \\/4x3 4:122 i :1: + 1. 19. Find the domain ofthe function f(:t.') = {7:112 +- 1, when n is odd. 20. Find the domain ofthe function f(:c) = {79:2 f 1, when n. is even. 21. Solve by sketching a graph: V/m 2 5 3. 22. Solve by sketching a graph: x/a: + 2 2 2