y = x* - 4x3 + 16x – 16 STEP 1: Set the factors of the function of y egual to zero and solve for the x-intercepts. y = x4 - 4x3 + 16x – 16 = (x + 2)(x – 2)3 smaller x-value (x, y) = larger x-value (х, у) %3D To find the y-intercept, substitute x = O in the original function and solve for y. -(O) (x, y) = STEP 2: Set the factors of the first derivative of y equal to zero and solve for the critical numbers. (Enter your answers as a comma-separated list.) y' = 4x3 - 12x2 + 16 = 4(x + 1)(x - 2)2 X = STEP 3: Set the factors of the second derivative of y equal to zero and solve. (Enter your answers as a comma-separated list.) y" = 12x2 - 24x 3D 12x(х — 2) X =
y = x* - 4x3 + 16x – 16 STEP 1: Set the factors of the function of y egual to zero and solve for the x-intercepts. y = x4 - 4x3 + 16x – 16 = (x + 2)(x – 2)3 smaller x-value (x, y) = larger x-value (х, у) %3D To find the y-intercept, substitute x = O in the original function and solve for y. -(O) (x, y) = STEP 2: Set the factors of the first derivative of y equal to zero and solve for the critical numbers. (Enter your answers as a comma-separated list.) y' = 4x3 - 12x2 + 16 = 4(x + 1)(x - 2)2 X = STEP 3: Set the factors of the second derivative of y equal to zero and solve. (Enter your answers as a comma-separated list.) y" = 12x2 - 24x 3D 12x(х — 2) X =
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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Analyze and sketch the graph of the function. Identify any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
y = x4 − 4x3 + 16x − 16
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