Section C Section C Checkpoint

Problem 1

  1. Describe the values in the domain of f(x)=∣x∣+1f(x) = \lvert x \rvert + 1.
  2. Describe the values in the range of f(x)=∣x∣+1f(x) = \lvert x \rvert + 1.
  3. Draw a graph of the function y=∣x∣+1y = |x|+1

Show Solution
Solution
  1. all values of xx
  2. all values greater than or equal to 1
Show Sample Response
Sample Response
  1. all values of xx
  2. all values greater than or equal to 1

Problem 2

The cost for a ticket, C(x)C(x), is measured in dollars. The cost is based on the age of a person, xx, measured in years.

C(x) = \begin{cases} 0, \quad 0<x x></x></span></span></p> <ol> <li>What is the domain of the function <span class="math">\(C?

  • What is the range of the function CC?
  • What is the cost of a ticket for a person who is 10 years old?
  • What is the cost of a ticket for a person who is 3 years old?
    • Show Solution
    Solution
    1. 0<x0 < x, or all positive values (or equivalent)
    2. 0, 3, 6, and 10
    3. $3
    4. free, or $0
    Show Sample Response
    Sample Response
    1. 0<x0 < x, or all positive values (or equivalent)
    2. 0, 3, 6, and 10
    3. $3
    4. free, or $0