Problem 5 of 34fun-005
The function is defined for all real numbers . Which inequality describes its range, the set of all possible values of ?
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Solution walkthrough1:54
- The graph is a parabola. The coefficient, , is positive, so it opens upward and has a lowest point: the vertex.
- The vertex is at . Here and , so .
- The lowest value is .
- The graph reaches and every height above it, and nothing below. The range is .
- Traps: is the vertex , not its height. is the -intercept. fits a parabola opening down.