Login or Sign Up

Ask a New Question

CURVE SKETCHING

. 𝑦 = 𝑥2 + 4𝑥 + 3

ANSWER: 𝐶𝑃: 𝑥 = −2 , No IP, Decreasing on (−∞,−2), Increasing on (−2, ∞) , CU on (−∞, ∞) , Min point(−2,−1)

I WANT THE STEPS PLEASE

again, just another parabola.

y = (x+2)^2 - 1
y' = 2x+2
y" = 2
so go through the steps using those characteristics.

Did you know?

Did you know that curve sketching involves analyzing the behavior of a mathematical function to determine its shape on a coordinate plane? By applying a systematic approach, we can determine important features such as critical points, increasing and decreasing intervals, and inflection points. In the equation 𝑦 = 𝑥2 + 4𝑥 + 3, for example, we can follow the steps to find that the critical point occurs at 𝑥 = −2, the function is decreasing on the interval (−∞,−2), increasing on (−2, ∞), there are no inflection points, the curve is concave up on (−∞, ∞), and the minimum point is located at (−2,−1). It's fascinating to explore how mathematical concepts can help us visualize and understand the behavior of functions!