Practice Problems

Answers

  1. The domain of a function is the set of all inputs for which the function is defined.

    According to the graph, ‍h is defined for certain points only. So the domain is the list of the input ‍x-values where ‍h is defined (or where there are points on the graph). This means the domain of ‍h is the ‍x-values ‍-2, -1, 1, 5 and 6.

    q1-answer

    In conclusion, the domain of the function is the x-values ‍-2, -1, 1, 5 and 6.


  2. The range of a function is the set of all the possible function outputs.

    According to the graph, the largest number that is an output of f is ‍-2, and the smallest number is ‍-9. Every number between them is also an output of ‍f for some input. Therefore, the range of ‍f is -9 \leq f(x) \leq -2.

    q2 answer

    In conclusion, the range of the function is -9 \leq f(x) \leq -2.


  3. The domain of a function is the set of all inputs for which the function is defined.

    According to the graph, ‍h is defined for certain points only. So the domain is the list of the input ‍x-values where ‍h is defined (or where there are points on the graph). This means the domain of ‍h is the ‍x-values ‍-2, -1, 1, 5 and 6.

    q3-answer

    In conclusion, the domain of the function is the -7 \leq x \leq 4.


  4. The range of a function is the set of all the possible function outputs.

    According to the graph, ‍h is defined for certain points only. So the range is the list of the output h(x)-values where ‍h is defined (or where there are points on the graph). This means the domain of ‍h is the ‍h(x)-values ‍-4, -2, 2, 4 and 6.

    q4 answer

    In conclusion, the range of the function is h(x)-values ‍-4, -2, 2, 4 and 6.