How do we sketch polynomial functions? We will sketch two cubic curves and two quartic curves. This is the precalculus way to sketch a polynomial. We will first find the zeros of the polynomial (because that will give us the x-intercept of the polynomial). Then we will do a sign chart on a number line because we need to know when the function is positive and when the function is negative. Remember if the function is positive, then its graph will be above the x-axis and if the function is negative, then its graph will be below the x-axis! Then have some fun connecting the dots via a polynomial curve. #precalculus #polynomials #curvesketching 0:00 0:20 (a) f(x)=-x^3+2x^2 5:52 (b) f(x)=x^3+3x^2-4x-12 11:41 (c) f(x)=x^4-5x^2+4 17:15 (d) f(x)=x^4-3x^3-4x^2 --------------------------------------------------------- If you find my channel helpful and would like to support, then you can subscribe by clicking 👉 support me Patreon: 👉 buy a math shirt or a hoodie: 👉 "Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, and a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos. --------------------------------------------------------- Best wishes to you, Just calculus.