Which of the following functions has a graph that does NOT intersect the x-axis?
Answer and explanation
Correct answer: B.
- Step 1: A graph does not intersect the x-axis if has no real solutions.
- Step 2: For , which has no real solutions (discriminant ).
- Step 3: Since for all real , everywhere.
Answer
g(x) = x^2 + 4.
Why not the others: '' intersects at ; '' intersects at ; '' intersects at .
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