Identifying Mistakes in Even and Odd Functions

The video tutorial discusses Jayden's task of determining if the function f(x) = x - cube root of x is even, odd, or neither. The instructor reviews Jayden's work, identifying a mistake in calculating negative f(x). The correct evaluation shows that f(x) is odd.

What was Jayden asked to determine about the function f(x)?

• If it is even, odd, or neither

• If it is continuous

• If it is differentiable

• If it has any asymptotes

What is the expression for f(x) given in the problem?

• x + the square root of x

• x - the cube root of x

• x - the square root of x

• x + the cube root of x

What is the first step Jayden took to determine if f(x) is even or odd?

• He evaluated f(-x)

• He integrated f(x)

• He found the derivative of f(x)

• He plotted the graph of f(x)

What does it mean if f(-x) equals f(x)?

• The function is odd

• The function is neither even nor odd

• The function is even

• The function is undefined

What does it mean if f(-x) equals -f(x)?

• The function is neither even nor odd

• The function is undefined

• The function is even

• The function is odd

What mistake did Jayden make in his evaluation?

• He incorrectly evaluated f(-x)

• He incorrectly evaluated the derivative

• He incorrectly evaluated -f(x)

• He incorrectly evaluated the integral

What should the correct evaluation of -f(x) be?

• x + the cube root of x

• x - the cube root of x

• -x + the cube root of x

• -x - the cube root of x

What was Jayden's incorrect evaluation of -f(x)?

• -x + the cube root of x

• x - the cube root of x

• x + the cube root of x

• -x - the cube root of x

What conclusion should Jayden have reached about f(x)?

• f(x) is odd

• f(x) is even

• f(x) is neither even nor odd

• f(x) is undefined

At which step did Jayden make his first mistake?

• Step 3

• Step 4

• Step 2

• Step 1