This question-specific review guide is tied to the answer reasoning for a PracticeTestVault item. Use it after you answer the question so the review stays focused on what the prompt actually tested.
What this question is testing
Objective: Determine the range of a function
Prompt focus: What is the range of the function f(x) = x squared plus 3?
Why the correct answer works
All real numbers greater than or equal to 3
Because x squared is at least 0, the minimum output is 3, so the range is all values 3 or greater.
Why the tempting wrong answer fails
The tempting wrong answer usually loses because it skips the key condition, priority, or evidence in the prompt.
Plain-language takeaway
Since x squared is always zero or positive, the smallest value of the function occurs when x equals 0, giving 3. The range is all real numbers greater than or equal to 3.
Simple analogy
Think of determine the range of a function like following a short checklist: identify the clue, confirm the rule, and then make the move that fits this exact scenario.
How to review it before a retake
- Underline the command word and name what the question is asking before rereading the choices.
- Compare the correct answer against the closest distractor and write the exact detail that separates them.
- Retest this objective with a fresh question without looking at the rationale first.