Symmetry Power Functions

Which of the following functions contain line symmetry?

• g(x) = 3x³ + 2x²

• g(x) = 5x⁴ + 3x³ + 4x²

• g(x) = 3x⁶

• g(x) = 18x³

The line that divides the graph into equal halves.

• Axis of Symmetry

• Vertex

• Zeros of functions

• parabola

What is a possible equation for the sketch graph?

What type of symmetry does the function have?

• Even

• Odd

• Neither

What is true about the graph?

• It is an even function. There is symmetry along the origin.

• It is an even. There is symmetry along the y-axis.

• It is an odd function. There is symmetry along the y-axis.

• It is an odd function. There is symmetry along the origin.

What type of symmetry does the function have?

• none

• reflection symmetry

• rotation symmetry

Which of the following statements is true?

• The function is even because it is symmetric over the y-axis.

• The function is odd because it is symmetric over the y-axis.

• The function is even because it is symmetric about the origin.

• The function is not even or odd because it does not have any symmetry.

What do these functions have in common?

• Not enough information.

• They are all even functions. There is symmetry along the origin.

• They are all even. There is symmetry along the y-axis.

• They are all odd functions. There is symmetry along the y-axis.

• They are all odd functions. There is symmetry along the origin.

What do these functions have in common?

• Not enough information.

• They are all even functions. There is symmetry along the origin.

• They are all even. There is symmetry along the y-axis.

• They are all odd functions. There is symmetry along the y-axis.

• They are all odd functions. There is symmetry along the origin.

Tell if the function is even, odd or neither and choose the correct explanation.

• Even, there is symmetry along the x-axis.

• Even, there is symmetry along the y-axis.

• Odd, there is symmetry along the x-axis.

• Odd, there is symmetry along the origin.