Find The Symmetry G(x)=x^4-3x | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Find the Symmetry g(x)=x^4-3x Step 1Determine if the function is odd, even, or neither in order to find the symmetry.1. If odd, the function is symmetric about the origin.2. If even, the function is symmetric about the y-axis.Step 2Find .Tap for more steps...Step 2.1Find by substituting for all occurrence of in .Step 2.2Simplify each term.Tap for more steps...Step 2.2.1Apply the product rule to .Step 2.2.2Raise to the power of .Step 2.2.3Multiply by .Step 2.2.4Multiply by .Step 3A function is even if .Tap for more steps...Step 3.1Check if .Step 3.2Since , the function is not even.The function is not evenThe function is not evenStep 4A function is odd if .Tap for more steps...Step 4.1Find .Tap for more steps...Step 4.1.1Multiply by .Step 4.1.2Apply the distributive property.Step 4.1.3Multiply by .Step 4.2Since , the function is not odd.The function is not oddThe function is not oddStep 5The function is neither odd nor evenStep 6Since the function is not odd, it is not symmetric about the origin.No origin symmetryStep 7Since the function is not even, it is not symmetric about the y-axis.No y-axis symmetryStep 8Since the function is neither odd nor even, there is no origin / y-axis symmetry.Function is not symmetricStep 9

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