Domain and Range Real Applications

What is a reasonable domain for the function?

What is a resonable domain for the function?

What is the most appropriate domain?

• Since the domain is people, non negative integers would be best

• Since the domain is ticket sales, non negative integers would be best

• Since the domain is people, all real numbers would be best

• Since the domain is ticket sales, all real numbers would be best

• Since the domain is people, positive rational numbers would be best

If f(x) is the weight of a truck after x crates are loaded, what is a reasonable domain?

• integers less than or equal to 1

• integers greater than or equal to 1

• all real numbers

• rational numbers

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

• The domain of the function is {0,1,2,3,4,5}

• The range of the function {0,96,192,288,384,480}

• The domain of the function is all real numbers

• The domain of the function {0,96,192,288,384,480}

• The range of the function {0,1,2,3,4,5}

• The range of the function is all real numbers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

The graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

• ARN

• y

• >

• G

• x

• <

• E

• B

• A

• H

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

• D: {0, 1, 2, 3, 4, 5}

• R: {0, 96, 192, 288, 384, 480}

• D: all real numbers

• R: {0, 1, 2, 3, 4, 5}

• : {0, 96, 192, 288, 384, 480}

• D: {0, 96, 192, 288, 384, 480}

• R: all real numbers

Answer explanation

Domain - x values

Range - y values

Real-world examples = apply common sense and judgements

Match the following

• RANGE

• ALL REAL NUMBERS

• DOMAIN

• x < 3

  OR

  –1 < x < 2

• NO

  MATCH

• x < 1

  OR

  x > 3

• DECREASING

• –3 < x < –1

  OR

  x > 2

• NEGATIVE

• y ≤ 2

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

• Right to left

• Left to right

• Bottom to top

• Top to bottom