Mastery Check for Functions Day #1 (FD1)

What is the name for all of the possible x-values of a function?​ (a)  

What is the name for all of the possible y-values of a function?​ (b)  

• Domain
• Range

Answer explanation

Reminder:

Domain is the set of all x-values for the function.

Range is the set of all y-values for the function.

Tags

AII.FF.2

Match the following domains with their functions.

• [ -3 , ∞)

• ( -∞, -1) u

  ( -1, 3) u ( 3, ∞)

• 
• [4 , ∞)

• ( -∞ , ∞)

• 
• ( -∞ , -1) u

  ( -1 , ∞)

Answer explanation

Reminder:

Polynomials have a domain of all real numbers always.

Square root functions cannot have negative value under the square root, so to solve for the domain, set the radicand ≥ zero.

Rational functions cannot have a denominator of zero, so to solve for the domain, set the denomiator ≠ zero.

Tags

AII.FF.2

PC.QPR.6

Describe in detail how to determine the domain and range for a function. Address polynomial, square root, and rational functions in your explanation. You may do work on paper, take a photo, and upload the work here.

Answer explanation

I will speak with you in person about this solution as needed.

Tags

AII.FF.2

PC.QPR.6

Answer explanation

Remember the range is the set of all output, y-values, or f(x) values.

Tags

AII.FF.2

There are 2 correct answers.

Tags

AII.FF.2