Identifying Even and Odd Functions in Algebra

What is the definition of an even function?

• f(-x) = -f(x)

• f(-x) = f(x)

• f(x) = -f(x)

• f(x) = x

What is the definition of an odd function?

• f(-x) = -f(x)

• f(-x) = f(x)

• f(x) = x

• f(x) = -f(x)

What is f(-x) for the function f(x) = 5 / (3 - x^4)?

• 5 / (3 + x^4)

• 5 / (3 - x^4)

• -5 / (3 - x^4)

• 5 / (3 - x)

Is the function f(x) = 5 / (3 - x^4) even, odd, or neither?

• Cannot be determined

• Neither

• Odd

• Even

What is g(-x) for the function g(x)?

• -1 / x - cube root of x

• 1 / x - cube root of x

• -1 / x + cube root of x

• 1 / x + cube root of x

Is the function g(x) even, odd, or neither?

• Odd

• Neither

• Even

• Cannot be determined

What is h(-x) for the function h(x)?

• 2^(-x) + 2^x

• -2^(-x) + 2^x

• 2^x + 2^(-x)

• 2^(-x) - 2^x

Is the function h(x) even, odd, or neither?

• Even

• Odd

• Neither

• Cannot be determined

What is j(-x) for the function j(x)?

• x / (1 + x)

• -x / (1 - x)

• x / (1 - x)

• -x / (1 + x)

Is the function j(x) even, odd, or neither?

• Odd

• Neither

• Cannot be determined

• Even