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MAT 114 Test #2D – Chapter 2 Name ___________________________ 1) Determine whether (-6, -1) is solution of the equation: 3x – 5y = 11 <A> YES <B> NO 2) Given the function f(x) = – 3x2 – 10, find f(-2) = _________ 3) Find the slope and the y-intercept for y = 2x – 3 Slope ___________; y-intercept ______________ 4) Find the slope and the y-intercept for y = 7 Slope ___________; y-intercept ______________ 5) Identify whether the two graphs are parallel, perpendicular, or none 6x – 4y = – 2 and 2y = – 3x + 1 <A> parallel <B> perpendicular <C> neither parallel nor perpendicular <D> None of the above 6) What is the domain of y = 2x + 1 (A) (–∞,∞) (C) (–∞, – 1) U (–1,∞) (B) All real numbers except 0 (D) None of the above 7) Find the domain of the graph below <A> (– ∞, 3] <C> (– ∞, 3) <B> [1, 3) <D> [– 3, ∞) 8) Find the range of the graph above <A> (– 3, 3] <C> (– ∞, 3) <B> (– 3, ∞) <D> [– 3, ∞) 9) Find the domain of this function: <A> (-∞, ∞) <C> All real numbers except -2 6 x2 <B> (-∞, 2) U (2,∞) <D> (-∞, -2) U (-2,∞) 10) Use vertical line test to determine if the following graphs are functions or not functions <A> YES, function <B> NO, not a function <A> YES, function <B> NO, not a function 11) Find the rate of change for the graph below. 12) Find a linear function that has the slope m = -3 and contains the point (0, -4) 13) Find an equation of the line that go through these two points (1,2), and (2, -3) 14) Find an equation of the line containing point (3,0) and parallel to the line 3y + 5 = x 15) Graph y = - ¾ x + 2 16) Graph x = -3 17) Graph 3x + 2y = 4 18) Choose the correct graph: y = x2 - 4 19) The function S(t) = 0.87 t + 4.92 can be used to estimate the sales of U.S. Saving Bonds, in billions of dollars, t year after 1998. ( t = 0 represents 1998) Estimate sales of U.S. Saving Bonds in 2009 20) For service call, TimTim Home Repair charged a $30 trip fee and $50 per hour for labor. a) Create a linear function that models the total cost of a service call C(x) where x is the number of hours. b) Use the function above to determine the cost of 3 hours service call.