Quiz about Periodic Functions and Transformations

Question 1

Given a graph, how do you know if it represents a periodic phenomenon?

Accepted Answer

A graph is periodic if a unique section repeats over and over again.

Answer

A graph is periodic if it has a straight line.

Answer

A graph is periodic if it has no repeating pattern.

Answer

A graph is periodic if it has random fluctuations.

Question 2

Which real life situation can not be represented by a periodic function?

Accepted Answer

the depth of water in a tub as it fills

Answer

a person's height above ground while jumping on a trampoline

Answer

the depth of water at high or low tide

Answer

the height of a cart in a ferris wheel as the wheel spins

Question 3

What transformation is applied to the graph of $$f(x)=\sin x$$ to obtain the graph of $$f(x)=-\sin x?$$

Accepted Answer

Reflection across the x-axis

Answer

Reflection across the y-axis

Question 4

The period of a function is:

Accepted Answer

how long one cycle is before the function repeats

Answer

how high and low the function goes from the center line

Question 5

Amplitude refers to....

Accepted Answer

how high and low the function varies from the center line.

Answer

the length of the function

Answer

the difference between the max and min values

Question 6

The graph of a function is shown. Classify the function.

Accepted Answer

periodic

Answer

linear

Answer

quadratic

Answer

polynomial

Question 7

The graph of a function is shown.

Determine the period.

Accepted Answer

$$\pi$$

Answer

$$5$$

Answer

$$10$$

Answer

$$2\pi$$

Question 8

The graph of a function is shown.

Determine the amplitude.

Accepted Answer

$$5$$

Answer

$$10$$

Answer

$$2\pi$$

Answer

$$\pi$$

Question 9

The graph of a function is shown.

Determine the equation of the midline.

Accepted Answer

$$y=0$$

Answer

$$x=0$$

Answer

$$x=5$$

Answer

$$y=5$$

Question 10

The graph of a function is shown.

Determine the frequency.

Accepted Answer

$$\frac{1}{\pi}$$

Answer

$$\frac{1}{2\pi}$$

Answer

$$\frac{1}{5}$$

Answer

$$\frac{1}{10}$$

Question 11

During the holiday light show, a particular light display oscillates in brightness as shown in the graph. What is the amplitude of this oscillation?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 12

What is the period of this oscillation?

Accepted Answer

$$6\pi$$

Answer

$$\pi$$

Answer

$$2\pi$$

Answer

$$3\pi$$

Question 13

What is the midline of this oscillation?

Accepted Answer

$$y=-1$$

Answer

$$y=1$$

Answer

$$y=0$$

Answer

$$y=-3$$

Question 14

The graph of a cosine function is shown.

What is the equation of the function?

Accepted Answer

$$y=2\cos(x)-1$$

Answer

$$y=\cos(x)-3$$

Answer

$$y=2\cos(x)$$

Answer

$$y=2\cos(x)+1$$

Question 15

Which equation could represent the function shown in the graph?

Accepted Answer

$$y=-3\sin x$$

Answer

$$y=3\sin x$$

Answer

$$y=3\cos x$$

Answer

$$y=-3\cos x$$

Periodic Functions and Transformations

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