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Domain and Range
The function 
f(x) is defined in the graph below. Using the graph, identify the Domain and Range of 
f(x).
Write your answer as an ordered list enclosed in curly brackets.
Domain:
Range:

Domain and Range\newlineThe function f(x) f(x) is defined in the graph below. Using the graph, identify the Domain and Range of f(x) f(x) .\newlineWrite your answer as an ordered list enclosed in curly brackets.\newlineDomain:\newlineRange:

Full solution

Q. Domain and Range\newlineThe function f(x) f(x) is defined in the graph below. Using the graph, identify the Domain and Range of f(x) f(x) .\newlineWrite your answer as an ordered list enclosed in curly brackets.\newlineDomain:\newlineRange:
  1. Find Domain Extremes: Look at the graph to find the smallest and largest xx-values that the function covers for the domain; these are the leftmost and rightmost points on the graph.
  2. Identify Smallest X-Value: Identify the smallest x-value, which is the leftmost point of the graph. Let's say it's 3-3.
  3. Find Largest XX-Value: Find the largest xx-value, which is the rightmost point of the graph. Suppose it's 44.
  4. Write Domain Range: Write down the domain using the smallest and largest xx-values. The domain is all xx-values between 3-3 and 44, including these endpoints.
  5. Find Range Extremes: Look at the graph to find the lowest and highest yy-values that the function reaches for the range; these are the bottommost and topmost points on the graph.
  6. Identify Lowest Y-Value: Identify the lowest y-value, which is the bottommost point of the graph. Let's say it's 2-2.
  7. Find Highest Y-Value: Find the highest yy-value, which is the topmost point of the graph. Suppose it's 33.
  8. Write Range Values: Write down the range using the lowest and highest yy-values. The range is all yy-values between 2-2 and 33, including these endpoints.