determine whether the graph represents a function. if it does represent a function, give its domain and…
determine whether the graph represents a function. if it does represent a function, give its domain and range.\nyes\nwhat is the domain? select the correct choice below and, if necessary, fill in the answer box to complete your choice.\na. (type an inequality or a compound inequality)\nb. the domain is all real numbers\nc. the graph does not represent a function\nwhat is the range? select the correct choice below and, if necessary, fill in the answer box to complete your choice\na. (type an inequality or a compound inequality)\nb. the range is all real numbers\nc. the graph does not represent a function
Answer
Explanation:
Step1: Use the vertical line test
A graph represents a function if any vertical line drawn intersects the graph at most once. For a straight - line graph (non - vertical), it passes the vertical line test. Since this is a non - vertical straight line, it is a function.
Step2: Determine the domain
The domain of a linear function (a non - vertical straight line) is all real numbers. Because for any real number (x), we can find a corresponding (y) value on the line.
Step3: Determine the range
The range of a linear function (a non - vertical straight line) is all real numbers. As (x) takes on all real values, (y = mx + b) (where (m\neq0)) also takes on all real values.
Answer:
For the domain: B. The domain is all real numbers. For the range: B. The range is all real numbers.