Afton family / FNAF rp? (i really want the missing kids in this rp ;-; no FNAF rp is complete without them.) So lemme tell you about mahself. Hewo Im Wolfie. Glitch *cough* trash *cough* daughter and im friends with almost every kid in the franchise. Almost means everyone but Cassidy. I was at her birthday and she didnt even treat me like a person. She didnt talk to me. She pushed me into the ball pit when she KNEW I couldnt swim so mikey had to come and get me. She didnt give me a party bag, cake, or ice cream when everyone else did. Though Fritz shared with me :>. And to top that day off. She poured the leftovers on m head and said she didnt mean it when i saw her with a smile on her face and going strait toward me. Ok enough about my rivlary, this is about you. Ay questions will be answered my meh and all charachters are open '>'

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Answer:     the interval on which the curve is concave up is  (-∞, -1/2)======    we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x    let the function f denote be the anti-derivative of the inside expression, i.e. a function such that .then use the fundamental theorem of calculus:     differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function    find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x    where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation    1 + x + x² = 0results in a discriminant of      meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get      so the since the 2nd derivative of the curve is positive on the interval  (-∞, -1/2), the  curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is  (-∞, -1/2)

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