Calculus : Please show work as organized as possible. (I get easily confused with numbers). Please put a bon on the answer to separate from the rest and put what question number it is. Thank you so much!

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1. [-/10 Points] DETAILS SESSCALC2 1.1.019. If f(x) = 3x2 - x + 5, find the following. f(1 ) = f(-1) = f(a ) = f(-a) = f(a + 1) = 2f(a ) = f(2a) = f(a 2 ) = [f(a) 12 = f( a + h ) = Need Help? Read It Watch It10. [-/6 Points] SESSCALCZ 1.2.502.XP. | MY NOTES Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function. (a) f(X) = '099 X ' trigonometric function (b) (C) (d) logarithmic function polynomial function of degree 2 algebraic function power function rational function root function exponential function 9(X) = exponential function polynomial function of degree 2 rational function logarithmic function root function trigonometric function 2)(3 9 x exponential function h(x) = 2 rational function root function trigonometric function power function polynomial of degree 2 logarithmic function u(t) = 1 1.1t+ 2.59t2 power function polynomial function of degree 2 logarithmic function exponential function root function ' trigonometric function (6) W\") = 8t ' power function ' trigonometric function logarithmic function root function ' exponential function (f) w(9) = sin 9 cos9 0 " exponential function ' polynomial function of degree 2 ' algebraic function root function ' logarithmic function ' trigonometric function ' power function ' rational function Need Help? _' 11. [-l6 Points] DETAILS SESSCALC21.3.002.MI. If an arrow is shot upward on Mars with a speed of 58 m/s, its height in meters t seconds later is given by y = 58!: 1.86:2. (Round your answers to two decimal places.) (a) Find the average speed over the given time intervals. (0 [1,2] m/s (ii) [1, 1.5] m/s (iii) [1, 1.1] m/s (iv) [1, 1.01] m/s (v) [1, 1.001] m/s (b) Estimate the speed when t = 1. m/s 12. [-/8 Points] DETAILS SESSCALC2 1.3.005. For the function g whose graph is given, state the value of each quantity, if it exists. (If an answer does not exist, enter DNE.) -4+ - 2 - 2 (a) lim g(t) t - 0 - (b) lim g(t) t - 0+ (c) lim g(t) (d) lim g(t) t - 2 - (e) lim g(t) t - 2+ (f ) lim g(t) t -> 2- (g) g(2) ( h ) lim g(t) t - 4 Need Help? Read It Watch It15. [-/7 Points] DETAILS SESSCALC2 1.3.504.XP. For the function R whose graph is shown, state the following. (If an answer does not exist, enter DNE.) -3 0 2 5 (a) lim R(x) X - 2 (b) lim_R(x) x - 5 (c) lim R(x) X - -3 (d) lim R(x) X - -3+ (e) The equations of the vertical asymptotes. X = (smallest value) X = X = (largest value) Need Help? Read ItDetermine the infinite limit. lim X+6 X_,_5+ X+ 5 Need Help? Determine the infinite limit. "m X+ 11 X_,_10- X + 10 Need Help? Determine the infinite limit. . ZX \"m 2 xr1(X- 1) Need Help? 2. [-/7 Points] DETAILS SESSCALC2 1.1.003. The graph of a function fis given. (a) State the value of f(1). (b) Estimate the value of f(-1). (c) For what values of x is f(x) = 1? (Enter your answers as a comma-separated list. ) X = (d) Estimate the value of x such that f(x) = 0. X = (e) State the domain and range of f. (Enter your answers in interval notation.) domain range (f) On what interval is f increasing? (Enter your answer using interval notation.) Need Help? Read It Watch ItEvaluate the difference quotient for the given function. Simplify your answer. f(3 + h) f(3) f(x)=5+5Xx2, h Need Help? _'_' Find the domain of the function. (Enter your answer using interval notation.) x+4 x29 1'00 = Need Help? _' Find the domain of the function. (Enter your answer in interval notation.) 1 h = (X) 4V x2 5x Need Help? _'_' Graphs of fand g are shown. .Y e/'\\ 9/ \\f , Is feven, odd, or neither? even odd neither Explain your reasoning. It is symmetric about the origin. It is symmetric with respect to the y-axis. It is symmetric with respect to the X-axis. It is not symmetric about the origin or the y-axis. Is 9 even, odd, or neither? even odd neither Explain your reasoning. It is symmetric about the origin. It is symmetric with respect to the y-axis. It is symmetric with respect to the X-axis. It is not symmetric about the origin or the y-axis. Need Help? _ (a) If the point (9, 6) is on the graph of an even function, what other point must also be on the graph? WE) (b) If the point (9, 6) is on the graph of an odd function, what other point must also be on the graph? m=