Login or Sign Up

Ask a New Question

CURVE SKETCHING

𝑦=x^2 + 2

ANSWER: 𝐶𝑃: 𝑥 = 0 , No IP, Decreasing on (−∞, 0), Increasing on (0, ∞) , CU on (−∞, ∞) ,Minimum point (0,2)

i want the steps pleas

I see where you've already had several of these done for you.

How about you show some work now?

what do you mean?

Did you know?

Did you know that curve sketching allows mathematicians to understand the behavior and characteristics of a mathematical function? When sketching the curve of the function 𝑦=x^2 + 2, we can follow a few steps to gain insightful information. First, by setting the derivative of the function equal to zero, we find that 𝑥=0, representing the critical point on the curve. Next, we analyze the intervals surrounding this point. The function is decreasing on the interval (−∞, 0) and increasing on the interval (0, ∞). Moreover, the curve has no inflection points. Additionally, the function has a minimum point at (0,2). Lastly, the curve is classified as a concave-up (CU) curve across the entire x-axis. Through curve sketching, we can visualize and comprehend the behavior of mathematical functions.