Subjective, Injective, Bijective

Injective Function

• Range = All real numbers

• Passes Horizontal line test

• One to one

• Fails Horizontal line test

• Not one to one

Bijective Function

• One to one

• Not one to one

• Passes horizontal line test

• Range = all real numbers

• Range is NOT all real numbers

Surjective

• Range = all real numbers

• Fails Horizontal line test

• Passes horizontal line test

• One to one

• Not one to one

Neither Surjective, Injective, nor Bijective

• Range is NOT all real numbers

• Range = all real numbers

• Fails horizontal line test

• Passes horizontal line test

Even function

• Symmetrical on Y axis

• Symmetrical on Origin

• Adjacent quadrants are mirrored

• Opposite quadrants are mirrored

Odd Function

• Symmetrical across y axis

• Symmetrical on origin

• Adjacent quadrants are mirrored

• Opposite quadrants are mirrored

Cubic parents function

• Surjective

• Injective

• Bijective

• Neither

Absolute value parent function

• Bijective

• Surjective

• Injective

• Neither

Cube root parent function

• Surjective

• Injective

• Bijective

• Neither

Quadratic parent function

• Surjective

• Injective

• Neither

• Bijective