Symmetry

Topic Page

Questions

• What functions have symmetric graphs?
• What are some examples of a symmetric function?
• What is a line of symmetry?
• What is rotational symmetry?
• Is the function #f(x) = x^2# symmetric with respect to the y-axis?
• Is the function #f(x) = x^2# symmetric with respect to the x-axis?
• Is the function #f(x) = x^3# symmetric with respect to the y-axis?
• What is the line of symmetry for #f(x) = x^4#?
• Is the graph of the function #f(x) = 2^x# symmetric?
• Is #f(x)=x^2+sin x# an even or odd function?
• Is the product of an odd function and an even function odd or even?
• Is the function #f(x) = x^3 + x sin^2 x# even, odd or neither?
• Is the function #f(s) = 4s^(3/2) # even, odd or neither?
• Is the function #f(X) = 4X^2 + X^4 -120# even, odd or neither?
• Is the function #f(x)=x^-6# even, odd or neither?
• Is the function #f(x)=x^4+3x^-4+2x^-1# even, odd or neither?
• Is the function #f(x)=x^4-6^-4+3x^2# even, odd or neither?
• Is the function #f(x)=-5x^4-3x^-4-2# even, odd or neither?
• Is the function #f(x) = x^5 - 16x# even, odd or neither?
• Is the function #(2-x)^(1/3)# even, odd or neither?
• Is the function #f(x)=1/(x^3+1)# even, odd or neither?
• Is the function #f(x)=2x^4+3x^2# even, odd or neither?
• Is the function #f(x)=(1/x^3+x)^5# even, odd or neither?
• Is the function #f(x) = 13x^4 – 2x^3 + 7x# even, odd or neither?
• Is the function #f(x) = 5x^6 + 8x^2 – 16# even, odd or neither?
• Is the function #f(x) =x sin x# even, odd or neither?
• Is the function #f(x) =cosx sinx# even, odd or neither?
• Is the function #f(x) = x^6-2x^2+3# even, odd or neither?
• Is the function #h(x) = x^3-5# even, odd or neither?
• Is the function #g(x) = x^3-5x# even, odd or neither?
• Is the function #f(x)=x^2/(x-1)# even, odd or neither?
• Is the function #f(x) = cos x# even, odd or neither?
• Is the function #f(x) = sin x# even, odd or neither?
• Is the function #f(x) = 2 cot x# even, odd or neither?
• Is the function #f(x) = (x^2+8)^2# even, odd or neither?
• Is the function #f(x)= 6x^3 - 2x# even, odd or neither?
• Is the function #f(x)= -4x^2 + 4x# even, odd or neither?
• Is the function #2 sin x cos x# even, odd or neither?
• How do you test for symmetry with respect to the line y=-x?
• How do you determine whether the graph of #f(x)=1/(5x)-x^19# is symmetric with respect to the origin?
• How do you determine whether the graph of #6x^2=y-1# is symmetric with respect to the x, y axis, the line y=x, the line y=-x, or none of these?
• How do you determine whether the graph of #x^3+y^3=4# is symmetric with respect to the x, y axis, the line y=x, the line y=-x, or none of these?
• How do you determine whether the graph of #y=sqrt(2-x^2)# is symmetric with respect to the x, y axis?
• How do you determine whether the graph of #absy=x^3# is symmetric with respect to the x, y axis?
• How do you determine whether the graph of #f(x)=5x^2+6x+9# is symmetric with respect to the origin?
• How do you determine whether the graph of #f(x)=1/(4x^7)# is symmetric with respect to the origin?
• How do you determine whether the graph of #f(x)=1/x-x^100# is symmetric with respect to the origin?
• How do you determine whether the graph of #g(x)=(x^2-1)/x# is symmetric with respect to the origin?
• How do you determine whether the graph of #x+y^2=1# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?
• How do you determine whether the graph of #y=-8x# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?
• How do you determine whether the graph of #y=1/x^2# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?
• How do you determine whether the graph of #y^2=(4x^2)/9-4# is symmetric with respect to the x axis, y axis, the line y=x or y=-x, or none of these?
• How do you determine whether the graph of #y^2=x^2# is symmetric with respect to the x axis, y axis or neither?
• How do you determine whether the graph of #absx=-3y# is symmetric with respect to the x axis, y axis or neither?
• How do you determine whether the graph of #y^2+3x=0# is symmetric with respect to the x axis, y axis or neither?
• How do you determine whether the graph of #absy=2x^2# is symmetric with respect to the x axis, y axis or neither?
• How do you determine whether the graph of #absy=xy# is symmetric with respect to the x axis, y axis or neither?
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