 # (5 points) State whether the graph of has infinite discontinuity,...

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(5 points) State whether the graph of has infinite discontinuity, jump discontinuity, point discontinuity, or is continuous. The function is continuous. The function has infinite discontinuity. The function has point discontinuity. The function has jump discontinuity. (5 points) For which interval(s) is the function increasing and decreasing? increasing for −2.31 < x < 2.31; decreasing for x < −2.31 and x > 2.31 increasing for increasing for increasing for (5 points) Given f(x) = x2 – 3 and g(x) = and ; decreasing for and ; decreasing for ; decreasing for and . Find (g ° f)(4). 6 –6 (5 points) The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function? 4 noitseuQ 3 noitseuQ 2 noitseuQ 1 noitseuQ (5 points) Describe the set of numbers using interval notation. x > 8 or x ≤ 2 [2, 8) (–∞, 2] ∩ (8, ∞) (–∞, 2] ∪ (8, ∞) (–∞, 2) ∪ (8, ∞) (5 points) Use symmetry to graph the inverse of the function. 6 noitseuQ 5 noitseuQ (5 points) 7 noitseuQ Determine whether f has an inverse function. If it does, find the inverse function and state any restrictions on its domain. f(x) = f–1(x) = f–1(x) = f–1(x) = f–1(x) = ; x ≠ 1 ; x ≠ –4 (5 points) Describe the end behavior of the graph. f(x) as x and f(x) as x + f(x) as x and f(x) as x + f(x) as x and f(x) as x + f(x) as x and f(x) as x + (5 points) Graph the function defined by 9 noitseuQ 8 noitseuQ (5 points) 01 noitseuQ Estimate and classify the critical points for the graph of each function. (0.5, 7), minimum; (2, 1), point of inflection; (3.5, –5), maximum (0.5, 7), maximum; (2, 1), point of inflection; (3.5, –5), minimum (0.5, 7), maximum; (3.5, –5), minimum no critical points (5 points) Describe the end behavior of the graph. f(x) as x and f(x) as x + f(x) as x and f(x) as x + f(x) as x and f(x) as x + f(x) as x and f(x) as x + 11 noitseuQ Given (5 points) find Then state whether is a function. is a function. is not a function. is not a function. is a function. (5 points) Find the average rate of change of f(x) = on [4, 9]. Round your answer to the nearest hundredth. 0.14 0.71 –0.36 –0.14 (5 points) Without graphing, describe the end behavior of the graph of the function. 41 noitseuQ 31 noitseuQ 21 noitseuQ As x → ∞, f (x) → −∞. As x → −∞, f (x) → ∞. As x → ∞, f (x) → −∞. As x → −∞, f (x) → −∞. As x → ∞, f (x) → ∞. As x → −∞, f (x) → −∞. As x → ∞, f (x) → ∞. As x → −∞, f (x) → ∞. (5 points) Determine the domain of the function (5 points) For which interval(s) is the function increasing and decreasing? increasing for x > 0; decreasing for x < 0 increasing for and increasing for and increasing for ; decreasing for and and and ; decreasing for and ; decreasing for (5 points) 71 noitseuQ 61 noitseuQ 51 noitseuQ The graph of a function f is illustrated below. What is the graph of the inverse function of f? (5 points) State whether the graph of or is continuous. The function has point discontinuity. The function has infinite discontinuity. The function is continuous. The function has jump discontinuity. (5 points) Find f(t – 3) for f(x) = 4x2 – 8x + 4. 4t2 – 32t + 64 64 4t2 – 32t – 64 4t2 + 32t + 64 (5 points) has infinite discontinuity, jump discontinuity, point discontinuity, State the domain of f g. Then find f g, including any additional restrictions necessary on the domain of the composition. f(x) = g(x) = D:x>-3;(f g)(x)= D: x -3; (f g)(x) = D:x 0;(f g)(x)= D:x 0;(f g)(x)= 02 noitseuQ 91 noitseuQ 81 noitseuQ

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