Recent content by Jinxypo

Homework Statement Construct a piecewise function f(x) such that the following conditions are satisfied: Concave down on ( - infinity, 5) Concave up on (5, infinity) increasing over ( -infinity,infinity) Nonzero- sloped tangent line at the point of inflection x = 5 f(5) = 11 (continuous at x =...

Thank you very much Mark you've been a great help.

Thanks Mark, I've come up with the following equation, could you please double check to see if it's right. y = -(1 / x+5) for x > -5

Homework Statement Find the equations for the two tangent line on the graph f(x) = - (x-3)^2 - 4 through the point (2,5)Homework Equations The Attempt at a Solution I already solved for f '(x) which is -2x +6. Then I plug in 2 for f '(x) in order to find the slope, which is 2. Using the...

Homework Statement Sketch the graph of a function g(x) with a corresponding domain on (-5, infinity) whose first derivative is always positive and whose second derivative is always negative. Then come up with and algebraic expression to model your graph. Homework Equations The Attempt at a...