(a) Find the critical number(s) of s.(b) Is the graph of s increasing, decreasing, or neither, at t = 3 seconds? (circle one)IncreasingDecreasing(c) Find the inflection point: (t, s) = (-(d) Is the graph of s concave up or concave down at t = 3 seconds? (circle one)Concave UpConcave Downt =NeitherNeither The altitude (in feet) of a rocket t seconds into flight is given by s = t³ - 3t².

Answered: Image /qna-images/answer/d3de0080-23e3-49d9-ba41-5fac98823bc5.jpg

Answered: (a) Find the critical number(s) of s.…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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T4. The point (-3, 8) is on the graph of y = 2f(x + 1) - 4. What was the original point on the graph of y = f(x)? (-4, 10) (4,5) It's impossible to know without knowing the parent function (-2,6)
f(x) = x1 Choose the correct graph below with the viewing window [-10,10,-10,10], with Xscl=2 and Yscl = 2. OA. Q G The domain is (Type your answer in interval notation.) OB. I G O D. X 26 Q OU
4. Let G represent the number of gallons of gasoline left in a car’s tank after it has been driven m miles from a filling station where it was last filled. The table below gives se- lected values of these quantities: (a) What kind of function is G = G(m)? How can you tell? (b) Determine the slope of the line that connects the first point (40, 11) to the last point (200, 3) from the table above. Interpret what this number tells us about how this car uses gasoline. (c) Find the y-intercept of the line that connects the first point (40, 11) to the last point (200, 3) from the table above. Interpret what this number tells us about how this car uses gasoline.
Use the graph of the function f to find approximations of the given values. y 4 -8 4 8 :4 -8 (a) f(-6) (b) f(-2) (c) f(2) f(6) - f(2) (d) 6 - 2
Find cach of the following for the graph of this function. /()=-+2r+8 A. Domain B. Range C x-intercepts D. y-intercepts C Vertex F Maximum Valuc G. Axis of Synmetry Opens Ue or Down
11. Look at the function graphed below. Which statement is true? * v-)- y = 6 -5 -4 -3 -2 -1 4 -2 A. The graph above is a vertical stretch of the graph of y = 2". B. The graph above is a vertical translation of the graph of y = 2". c. The graph above is a vertical compression of the graph of y = 2". D. The graph above is a horizontal compression of the graph of y = 2". O A Ов O c O D
4. Sketch the graph of each function listed below. Determine any intercepts, the points of all relative extrema and points of inflection. If applicable, determine any horizontal and vertical asymptotes. Attach all work. (a) y = 3rª-6,x² +5/3. x-intercepts (-1.29, 0), (–0.58, 0), (0.58, 0), (1.29, 0). 1² +1 (b) y = g² – 4
7. Find the following information for each function. (1) State the domain (in interval notation). (ii) Find the equation(s) of the vertical asymptote(s). (iii) Find the x-intercept(s). (iv) Find the y-intercept(s).
(d) Graph f(x) = 9x on the window [-9, 9] by [-9, 9]. Do you see why the slope at x = 0 does not exist? O -5 y 5 -5 10 5 -5 -10 5 5 X @ O -5 10 y 5 5 5 X

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