4.5 even odd review questions in class

If f(x) = x³, then f(-x) = (-x)³ which is (-x)(-x)(-x) or​ (a)   . This means f(x) is​ (b)   .

• -x
• x
• odd
• even
• neither even or odd

If f(x) = x⁴, then f(-x) = (-x)⁴ which is (-x)(-x)(-x)(-x) or​ (a)   . This means f(x) is​ (b)   .

• -x
• x
• odd
• even
• neither even or odd

Which of the following is a property of even functions?

• f(-x) = -f(x)

• f(-x) = f(x)

• 1/f(x) = f(-x)

• f(x) = -f(-x)

Answer explanation

f(-x) = f(x)

This means

(2,3) and (-2,3)

are points on an even function

Plugging in -x does not change the y-value

Which of the following is a property of odd functions?

• f(-x) = -f(x)

• f(-x) = f(x)

• f(x) = f(-x)

• f(x) = -f(-x)

To find f(-x) for f(x) = x² + x, you would get f(-x) = ​​ (a)   ² + (-x). This simplifies to f(-x) = ​x² - x which means f(x) is ​ (b)   .

• (-x)
• -(x)
• neither even nor odd
• odd
• even

Match the following

• (2,5) and (-2,5)

• Point for neither even nor odd

• -f(x)

• Odd function points

• (2,8) and (-2,-8)

• If f is odd, then
  f(-x) =

• (2,5) and (-2,7)

• Even function points

• f(x)

• If f is even, then
  f(-x) =

Tell if the function is even, odd or neither and choose the correct explanation.

• Even, there is symmetry along the x-axis.

• Even, there is symmetry along the y-axis.

• Odd, there is symmetry along the x-axis.

• Odd, there is symmetry along the origin.

What is true about the graph?

• It is an even function. There is symmetry along the origin.

• It is an even. There is symmetry along the y-axis.

• It is an odd function. There is symmetry along the y-axis.

• It is an odd function. There is symmetry along the origin.