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In this lesson, we will learn how to decide whether a function is even, odd, or neither both from a graph of the function and from its rule.

Q1:

Is the function represented by the figure even, odd or neither even nor odd?

Q2:

Q3:

Which of the following points form an odd function?

Q4:

How can you tell from a graph that a function is odd?

Q5:

How can you tell from a graph that a function is even?

Q6:

Is the function π ( π₯ ) = 2 π₯ β 1 5 π₯ 4 2 even, odd, or neither even nor odd?

Q7:

Determine whether the function π ( π₯ ) = β 9 π₯ 2 , where π βΆ β βΆ β + + , is even, odd, or neither even nor odd.

Q8:

Suppose that π ( π₯ ) = π₯ ο ο° ο§ is an even function, where π β₯ 0 is an integer. What can be said about π ?

Q9:

Is the function π ( π₯ ) = π₯ 6 π₯ 5 4 t a n even, odd, or neither even nor odd?

Q10:

Is the function π ( π₯ ) = 8 π₯ + 8 π₯ β π₯ β β 3 even, odd, or neither even nor odd?

Q11:

Determine whether the function π ( π₯ ) = π₯ 3 , where π₯ β β β { β 6 } , is even, odd, or neither even nor odd.

Q12:

Is the function π ( π₯ ) = οΉ 4 π₯ + 5 ο + 2 4 2 even, odd or neither even nor odd?

Q13:

Which of the following points form a curve that represents an even function?

Q14:

Determine whether the function represented by the following figure is even, odd, or neither even nor odd.

Q15:

Q16:

Is the function π ( π₯ ) = β 2 π₯ β 3 3 even, odd or neither even nor odd?

Q17:

Is the function π ( π₯ ) = β π₯ β 3 π₯ β 8 π₯ β π₯ β β 5 3 even, odd, or neither even nor odd?

Q18:

Is the function represented by the figure even, odd, or neither even nor odd?

Q19:

Is the function π ( π₯ ) = 6 π₯ οΉ 6 π₯ + 9 ο 4 even, odd or neither even nor odd?

Q20:

Is the function even, odd, or neither even nor odd?

Q21:

Which of the following functions is odd?

Q22:

Q23:

Q24:

If a function is odd, then its curve is symmetric about what?

Q25:

If a function is even, then its curve is symmetric about what?

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