For what value of x does f(x) = x² reach its minimum?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Prepare for the PSAT 8/9 Math Test. Engage with flashcards and multiple-choice questions, featuring hints and explanations for each question to help you succeed. Be exam-ready!

Multiple Choice

For what value of x does f(x) = x² reach its minimum?

Explanation:
The function f(x) = x^2 reaches its smallest value when the input is zero. The square of any real number is always nonnegative, and it is exactly zero only at x = 0. Graphically, this is a parabola opening upward with its lowest point (the vertex) at (0, 0). Therefore, the value of x that minimizes f(x) is 0.

The function f(x) = x^2 reaches its smallest value when the input is zero. The square of any real number is always nonnegative, and it is exactly zero only at x = 0. Graphically, this is a parabola opening upward with its lowest point (the vertex) at (0, 0). Therefore, the value of x that minimizes f(x) is 0.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy