 Practice with Odd/Even Functions Terms of Use    Contact Person: Donna Roberts  1.
Which of the following functions is even? Choose:
 f (x) = x2 + x f (x) = x3 + x2 f (x) = x4 + x2 f (x) = (x + 1)2

2.
Regarding the graph at the right, the parabola is: Choose:
 even since it is symmetric. odd since it is symmetric. not a function since if fails the horizontal line test. neither odd nor even.

3.
Is the parent absolute value function,
f (x) = | x |, odd, even, or neither? Choose:
 odd even neither

 4. If f (x) = x3 + x, which of the following statements must be true? (Check all that apply, and hit SUBMIT!) f (x) is odd f (x) is even f (x) is neither f (x) = f (-x) f (-x) =- f (x) f (x) is symmetric about y-axis f (x) is symmetric about origin 5.
Given the functions shown below, determine which of the functions are odd, even or neither. Show your algebraic work to confirm your answers.
 1) f (x) = 4x3 - 9 2) f (x) = x2 + 4x + 4 3) f (x) = x5 + 4x3 - 2x 4) f (x) = | x | + 2 5) 6) 6.
Which of the following functions is odd?
Choose:    7. The graph shown at the right is a portion of an even function on the interval [-4,4]. Complete the graph on the given interval. 8 Sketch the graph of an odd function that has the following properties. There is more than one correct answer. Domain is [-5,5] Range is [-2,2] Increasing on the interval (-3,3) Decreasing on intervals (-5,-3) and (3,5) 9. The graph shown at the right is a portion of a function on the interval [-4,4]. a) Complete the graph on the given interval assuming the graph to be even. b) Complete the graph on the given interval assuming the graph to be odd. 10 Show that the product of two even functions is an even function.  