The following figure gives the graph of the derivative of a continuous function fthat passes through the origin. Sketch a graph of fon the same set of axes. Choose the correct graph below O C. O A. ○...
12 Find the equation and sketch the graph of a rational function that passes through (0,0) and 6,35 . has the x-axis as a horizontal asymptote, and has two vertical asymptotes x- 1 and x1 The equation of the function is y (Simplify your answer. Use integers or fractions for any numbers in the equation.) Choose the correct graph below. в. Ос. O D.
Sketch the graph of a function that is continuous on (-0,ce) and satisfies the following sets of conditions. 4-6)=21-5-or(- = 0; f(-4)=1-4)= 0; f(-3)=P(-3)=0 Choose the correct answer below OA OB C. OD. o S
The figure below gives the behavior of g', the derivative of a function g, on -2x2. 24 (You can click on the graph to enlarge the image.) Note: This is the graph of g, not of g. Sketch a graph of g(x) and use your sketch to answer the following questions. (a) Where does the graph of g(x) have inflection points? Note: Enter your answer as a comma-separated list of values, or enter none if there are none. (b) How...
Graph the derivative of the function graphed on the right. Choose the correct graph below. OC. EOD. Mix Wir Click to select vour answer
Sketch the graph of a single function that has all of the properties listed. (a) Continuous and differentiable everywhere except at x = 2, where it has a vertical asymptote (b) Increasing everywhere it is defined (c) Concave upward on (-0,2) and (446) (d) Concave downward on (2,4) and (6,00) Choose the correct graph below. OA ов. O c. OD a 10 10 10 10 10 10 10 - 10
just tell me the letter of the anwers Find and sketch the level curves tx.v) c on the same set of c00ednate axes for the given values of c. Reler to these level curves as a contour mape 2-3x-y, c-2,-1,0, 1,2 Choose the comect graph below O A O B OC. O D. Click to select your answer Find and sketch the level curves fx,y) c on the same set of coordinate axes for the given values of c. We...
12. (8 points) A Graph Satisfying First and Second Derivative Conditions On the figure below, sketch the graph of a function y = f(x) that satisfies: • f(-2) = -3, • f is continuous • F"(x) > 0 on (-00, 2). • f is concave up for 1 > 2, and • lim f(1) = -2. • f'(2) does not exist. 00
8. Trace the graph of the function and sketch a graph of its derivative directly beneath b) a) c) Use any differentiation formulas to find equations of the tangent line and normal line to the curve y at the given point P a) y (2x -3)2 at P (1,1) b) y (2+x at P (0,2) 9. 10. The graph of f is shown. a) State, with reasons, the numbers at which f is not continuous. b) State, with reasons, the...
Sketch a possible graph of a function that satisfies the conditions below. Determine whether fis continuous at x = 1. f(1) = 2; lim f(x) = -2; lim f(x) = 2 x=1 *1* Choose the correct graph below. OA. B. OC. D. ro х X х -5 5 -5 5 -5 5 -5 5 Is f(x) continuous at x = 1? No оо Yes
Match the set of curves with the appropriate function. Choose the correct function below. O A. B. O C. z= – x3 + x2 + x + y2 - y2-y z = 2x2 + y2 - 2 z=y2 -y4 - x2