(x)+2) -1, Indicate the yertex as a point (xa) and the Graph a ptssie the xertex...
1 point) Sketch the graph of the function y = x(4-2) - 103 In x. Indicate the transition points (local extrema and points of inflection) (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of e-coordinates. Enter NULL in answer field if there is no such point.) Local maximum at = help (fractions) Local minimum at I= Inflection at I= (1 point) Sketch the graph of the function y = 81x +...
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1.Let g(x) = log3(x +3)-1 . d. (3 pts) f(8)-3, the corresponding point on the graph of f(x)is.H The transformed point on the graph of g(x) is . e. (2 pts) Find the domain and the range. Write in interval notation. 1d. point on f(x): point on g(x): f. (1 pt) What is the vertical asymptote? That is, as x→ 1e. D: R: 1f. 8. (5 pts) Find the equation of the inverse, g(x). 1g.
1.Let g(x)...
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13) Graph the parametric curve for all real values of x, and indicate the direction moved by a particale along the path (interpreting t as time), and the direction of motion. x = 2 sin t, y = 5 cos t, Osts 27 2+ 1+ + -5 -4 -3 -2 1 2 - 1 -1+ 3 4 5% 2+ -3+ + Describe the graph of the polar equation sin 20 = 22
13) Consider the function f(, y)-4x2 +y a) Sketch a graph of level curves for fox.y)-4,8 and 16 (they should be ellipses) in xa-plare b) Calculate the gradient of f at the point (1,2). c) Find a direction (expressed as a unit vector) for which the directional derivative at the point (1,2) is 0.
13) Consider the function f(, y)-4x2 +y a) Sketch a graph of level curves for fox.y)-4,8 and 16 (they should be ellipses) in xa-plare b) Calculate...
(1 point) Shown below is the graph of y- f'(x), NOT the graph of y-f(x). (Click on the picture for a better view.) From the information in this graph we can conclude that a good approximation to f(-5.04)- f(-5) is 0.08 Shown below is the graph of a different function, y - g(x). (Click on the picture for a better view.) Indicate the labeled point at which g(x) changes sign: a g'(x) changes sign: d g"(x) changes sign: c
(1...
Find the horizontal and vertical asymptotes of the curve. 2+XA x² - XA (smallest x-value) y = X= X= X= (largest x-value) y = Submit Answer
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. The reflection of the graph of y = f(x) across the y-axis O (-2,4) O (2,-4) O (-2,-4) O (2.4)
Problem 2. (1 point) Let F(x) = ss flodt, where f(t) is the graph in the figure. Find each of the following: A. F(2) = 0 B. F'(5) = 3 6 7 C. The interval (with endpoints given to the nearest 0.25) wfſero F is concave down: Interval (1.25,6) (Give your answer as an interval or a list of intervals, e.g. (-infinity,8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where F takes its maximum...
Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. 21) y=3f(x - 2) - 5 A) (4, -3) B) (0, -3) (7) D) (4,7)
7) [f function g is defined by g(x) = Ta'an, xa, thon g'(1) = ? (A) 1 (B) 2 (C) 3 (D)O (E) Does not exist The graph of function g is shown below. Which of the following statements about function g is true? A) Atx=b, function g is differentiable. BY Atxa, function g is continuous, but not differentiable. C) Atx=a, function g is both continuous and differentiable Function g is not differentiable at any point. E) Atx=c, function g...