In Exercises 41-64, a. Use the Leading Coefficient Test to determine the graph’s end behavior. b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. c. Find the y-intercept. d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly. f ( x ) = − 3 x 3 ( x − 1 ) 2 ( x + 3 )
In Exercises 41-64, a. Use the Leading Coefficient Test to determine the graph’s end behavior. b. Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. c. Find the y-intercept. d. Determine whether the graph has y-axis symmetry, origin symmetry, or neither. e. If necessary, find a few additional points and graph the function. Use the maximum number of turning points to check whether it is drawn correctly. f ( x ) = − 3 x 3 ( x − 1 ) 2 ( x + 3 )
Solution Summary: The author explains how the graph of the polynomial falls to both sides.
10
The hypotenuse of a right triangle has one end at the origin and one end on the curve y =
Express the area of the triangle as a function of x.
A(x) =
In Problems 17-26, solve the initial value problem.
17. dy = (1+ y²) tan x, y(0) = √√3
could you explain this as well as disproving each wrong option
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