Sketch the indicated curve. Find the intercepts. Find any asymptotes. Find any relative extrema and determine the intervals on which the curve is increasing and the intervals on which it is decreasing. Find any inflection points. Determine the intervals on which the curve is concave up and the intervals on which it is concave down.y = 
What will be an ideal response?
x- and y-intercept: (0, 0)
Horizontal asymptote: y = 0
Vertical asymptotes: x = -5, x = 5
No relative extrema
Increasing: x < -5, -5 < x < 5, x > 5
Inflection point: (0, 0)
Concave up: x < -5, 0 < x < 5
Concave down: -5 < x < 0, x > 5
You might also like to view...
Describe the domain of the function of three or more varables.f(x, y, z) = 
A. All points in ?3 that satisfy 6x2 + 8xy2 + 5z2 > 0. B. All points in ?3. C. All points in ?3 that satisfy 6x2 + 8xy2 + 5z2 ? 0. D. All points in ?3 except where x = 0, or y = 0, or z = 0.
Multiply. Write the answer in descending order and combine like terms.(2x3 + 6)(2x3 - 6)
A. 4x6 - 24x - 36 B. 4x6 - 36 C. 4x2 + 24x - 36 D. 4x3 - 36
Solve the problem.The position of a projectile fired with an initial velocity v0 feet per second and at an angle ? to the horizontal at the end of t seconds is given by the parametric equations 
Suppose the initial velocity is 3 feet per second. Obtain the rectangular equation of the trajectory and identify the curve.
A. y = 
+ (cot ?)x; parabola
B. y = - 
+ (cot ?)x; hyperbola
C. y = - 
+ (tan ?)x; parabola
D. y = - 
+ (tan ?)x; ellipse
Provide an appropriate response.Evaluate: 
Fill in the blank(s) with the appropriate word(s).