Function Symmetry and Characteristics

It helps in solving linear equations.

It simplifies the process of integration.

It is only useful for graphing functions.

It is not relevant to calculus.

The function is identical when translated horizontally.

The function is identical when reflected across the x-axis.

The function is identical when reflected across the y-axis.

The function is identical when rotated 180 degrees.

It looks the same when flipped over the x-axis.

It looks the same when rotated 90 degrees.

It looks the same when reflected over the y-axis.

It looks the same when rotated 180 degrees around the origin.

f(x) = f(-x) for all x

f(x) = -f(x) for all x

f(x) = f(x+1) for all x

f(x) = -f(-x) for all x

f(x) = f(-x)

f(x) = f(x+1)

f(x) = -f(x)

f(x) = -f(-x)

A function with rotational symmetry.

A function with reflectional symmetry across the x-axis.

A function with reflectional symmetry across the y-axis.

A function with no symmetry.

A constant function

A quadratic function

A linear function

An odd function

It has reflectional symmetry across the y-axis.

It has rotational symmetry around the origin.

It has no symmetry.

It has reflectional symmetry across the x-axis.

f(x) = f(x+1)

f(x) = -f(-x)

f(x) = -f(x)

f(x) = f(-x)

f(x) = f(-x)

f(x) = -f(x)

f(x) = -f(-x)

f(x) = f(x+1)