Precalculus Honors Module Three Lesson Four Activity Sketch a function that would meet all the criteria below. The function you sketch, needs to be continuous at all points that are not listed. Print this assignment off, and use the graph provided to sketch the function, then scan or take a picture of your work, and upload the image to the assignment for a grade. You must show your step-by-step process to solve each question to receive full credit. You must include a complete labeled graph with letters a through k to receive credit. Graphs that are not clearly labeled will not receive credit. a) lim x->+inf f(x) = -3 b) lim x->-inf f(x) = 2 c) lim x->-4 f(x) = 8 d) lim f(x) = 4 e) lim f(x) = -2 f) f(-1) = 0
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Sketch a function that would meet all the criteria below. The function you sketch needs to be continuous at all points that are not listed. Print this assignment off and use the graph provided to sketch the function. Then scan or take a picture of your work and upload the image for a grade. You must include a complete labeled graph with letters A through K to receive credit. Graphs that are not clearly labeled will not receive credit.
Vincenzo Z.
need help with graph
Marcella S.
Q1. Sketch the graph of an example of a function that satisfies all of the following conditions: lim (x→0) f(x) = ∞ lim (x→3⁻) f(x) = -∞ lim (x→3⁺) f(x) = ∞ lim (x→-∞) f(x) = 1 lim (x→∞) f(x) = -1 Q2. Find the limit or show that it does not exist: lim (r→∞) (r - r³) / (2 - r² + 3r³) Q3. Find the limit or show that it does not exist: lim (r→∞) √(1 + 4r⁶) / (2 - r³) Q4. For the function whose graph is given below, state the following: (i) lim (x→∞) f(x) (ii) lim (x→-∞) f(x) (iii) lim (x→1) f(x) (iv) lim (x→3) f(x) and (v) the equations of the asymptotes. Q5. A function is a ratio of quadratic functions and has a vertical asymptote x = 4 and just one x-intercept, x = 1. It is known that has a removable discontinuity at x = -1 and lim (x→-1) f(x) = 2. Evaluate (i) f(0) and (ii) lim (x→∞) f(x).
Andrew N.
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