Quiz about Unit 4 - Reasonable Domain and Range

Question 1

All of the x values or inputs are called what?

Accepted Answer

Domain

Answer

Range

Question 2

All of the y values or outputs are called what?

Accepted Answer

Range

Answer

Domain

Question 3

What is the domain for the function $$f\left(x\right)=6x+9$$ ?

Accepted Answer

All Real Numbers

Answer

All real numbers greater than or equal to 6 and less than or equal to 9

Answer

All real numbers less than or equal to 9

Answer

All real numbers less than or equal to 6

Question 4

DOMAIN is found by reading the ends of a graph from ___ to ___.

Accepted Answer

Left to right

Answer

Right to left

Answer

Bottom to top

Answer

Top to bottom

Question 5

RANGE is found by reading the ends of a graph from ___ to ___.

Accepted Answer

Bottom to top

Answer

Right to left

Answer

Left to right

Answer

Top to bottom

Question 6

Is the following situation discrete or continuous?:

The height of water in an aquarium as it is being filled.

Accepted Answer

Continuous

Answer

Discrete

Question 7

Is the following situation discrete or continuous?:

The number of tickets purchased for an auction.

Accepted Answer

Discrete

Answer

Continuous

Question 8

Is the following situation discrete or continuous?:

The temperature change as you hike up a mountain.

Accepted Answer

Continuous

Answer

Discrete

Question 9

Is the following situation discrete or continuous?:

The number of t-shirts purchased to give out during the pep rally.

Accepted Answer

Discrete

Answer

Continuous

Question 10

Is the following situation discrete or continuous?:

The amount of money in a bank account over time as it earns interest.

Accepted Answer

Continuous

Answer

Discrete

Question 11

Annika is designing her dream garden and wants to plant sunflowers in her backyard. After she plants the sunflowers she waters them regularly and begins to measure when the flower is twelve cm tall. She notices they are growing 2 cm every day. What is the reasonable range for this situation if she stops measuring after a week?

Accepted Answer

$$12\le y\le26$$

Answer

{0, 1, 2, 3, 4, 5, 6, 7}

Answer

$$0\le y\le7$$

Answer

{12, 14, 16, 18, 20, 22, 24, 26}

Question 12

The total cost of renting a banquet hall is a function of the number of hours the hall is needed. The owner of the banquet hall charges $85 per hour up to a maximum of 4 hours plus a $50 cleaning fee. When calculating final cost the banquet hall always rounds to the nearest hour. What is the reasonable range for this situation?

Accepted Answer

{50, 135, 220, 305, 390}

Answer

$$1\le y\le4$$

Answer

$$50\le y\le390$$

Answer

{0, 1, 2, 3, 4}

Question 13

Denver is watching the snow fall outside his window during a blizzard. When he first begins to watch the snow is 0.5 inches deep. After two hours of consistent snow he now measures it as 4.5 inches deep. What is reasonable domain for this situation?

Accepted Answer

$$0\le x\le2$$

Answer

{0, 1, 2}

Answer

$$0.5\le x\le4$$

Answer

{0.5, 2.5, 4.5}

Question 14

Jessica just got a new puppy a month ago and she has been keeping track of it's weight over time. If the total weight of the puppy (y), is a function of the time in weeks that has passed (x), and it can be represented by the function $$y=2x+10$$ what is the reasonable range of the situation if she is measuring between when she first got him and 4 weeks later?

Accepted Answer

All real numbers greater than or equal to 10 and less than or equal to 18

Answer

All Real Numbers

Answer

All real numbers greater than or equal to 0 and less than or equal to 4

Answer

All real numbers greater than or equal to 10

Question 15

The cost of hiring a math tutor, y, to work work x hours can be modeled with a linear function. To schedule an appointment, the tutor charges $10 plus an additional cost of $40 per hour.

You can hire the tutor for a maximum of 4 hours. Find the reasonable domain and range of this situation.

Accepted Answer

Domain:

All real numbers greater than or equal to 0 and less than or equal to 4

Range:

All real numbers greater than or equal to 10 and less than or equal to 170

Answer

Domain:

$$\left\{0,1,2,3,4\right\}$$

Range:

$$\left\{10,50,90,130,170\right\}$$

Answer

Domain:

$$\left\{10,50,90,130,170\right\}$$

Range:

$$\left\{0,1,2,3,4\right\}$$

Answer

Domain:

All real numbers greater than or equal to 10 and less than or equal to 170

Range:

All real numbers greater than or equal to 0 and less than or equal to 4

Unit 4 - Reasonable Domain and Range

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