Quiz about 4.5 even odd review questions in class

Question 1

An even function is symmetric over the y axis, for an even function f(-x) = f(x). Plug in -x, get the same y out.

Given that $$f\left(x\right)$$ is an even function and that $$f\left(3\right)=19$$ , which statement must also be true?

Accepted Answer

$$f\left(-3\right)=19$$

Answer

$$f\left(-3\right)=-19$$

Answer

$$f\left(3\right)=-19$$

Answer

$$f\left(19\right)=3$$

Question 2

An odd function is symmetric about the origin, for an odd function f(-x) = -f(x). Plug in -x, get opposite sign y out.

Given that $$f\left(x\right)$$ is an ODD function and that $$f\left(3\right)=19$$ , which statement must also be true?

Accepted Answer

$$f\left(-3\right)=-19$$

Answer

$$f\left(-3\right)=19$$

Answer

$$f\left(3\right)=-19$$

Answer

$$f\left(19\right)=3$$

Question 3

Which of the following is a property of even functions?

Accepted Answer

f(-x) = f(x)

Answer

f(-x) = -f(x)

Answer

1/f(x) = f(-x)

Answer

f(x) = -f(-x)

Question 4

Which of the following is a property of odd functions?

Accepted Answer

f(-x) = -f(x)

Answer

f(-x) = f(x)

Answer

f(x) = f(-x)

Answer

f(x) = -f(-x)

Question 5

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

Accepted Answer

Even, there is symmetry along the y-axis.

Answer

Even, there is symmetry along the x-axis.

Answer

Odd, there is symmetry along the x-axis.

Answer

Odd, there is symmetry along the origin.

Question 6

What is true about the graph?

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

Even, odd, or neither?

Accepted Answer

Odd

Answer

Even

Answer

Neither

Question 8

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

f(x) = x² + 2 f(-x) = (-x)² + 2 = x² + 2

Accepted Answer

Even

Answer

Odd

Answer

Neither

Question 9

Describe the symmetry.

Accepted Answer

none

Answer

even

Answer

odd

Question 10

Determine if the function is even, odd, or neither.

Accepted Answer

Even

Answer

Odd

Answer

Neither

Question 11

Determine if the function is even, odd or neither

Accepted Answer

odd

Answer

even

Answer

neither

4.5 even odd review questions in class

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