Question Function Find the domain Determine if even, odd or neither y∈R Evaluate x=y4Separate the function into parts to determine the domain of each part y4Solution y∈R Show Solution Solve the equation y=4xy=−4x Evaluate x=y4Swap the sides of the equation y4=xTake the root of both sides of the equation and remember to use both positive and negative roots y=±4xSolution y=4xy=−4x Show Solution Rewrite the equation r=0r=sin(θ)×3sin(θ)3cos(θ) Evaluate x=y4Move the expression to the left side x−y4=0To convert the equation to polar coordinates,substitute x for rcos(θ) and y for rsin(θ) cos(θ)×r−(sin(θ)×r)4=0Factor the expression −sin4(θ)×r4+cos(θ)×r=0Factor the expression r(−sin4(θ)×r3+cos(θ))=0When the product of factors equals 0,at least one factor is 0 r=0−sin4(θ)×r3+cos(θ)=0Solution More Steps Factor the expression −sin4(θ)×r3+cos(θ)=0Subtract the terms −sin4(θ)×r3+cos(θ)−cos(θ)=0−cos(θ)Evaluate −sin4(θ)×r3=−cos(θ)Divide the terms r3=sin4(θ)cos(θ)Simplify the expression More Steps Evaluate 3sin4(θ)cos(θ)To take a root of a fraction,take the root of the numerator and denominator separately 3sin4(θ)3cos(θ)Simplify the radical expression sin(θ)×3sin(θ)3cos(θ) r=sin(θ)×3sin(θ)3cos(θ) r=0r=sin(θ)×3sin(θ)3cos(θ) Show Solution Graph