Analyzing Quadratic Functions

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Questions and Answers

What is the range of the function f(x) based on the graph?

  • $(−\infty, 3]$ (correct)
  • $(−\infty, 2]$
  • $(−\infty, \infty)$
  • $[3, \infty)$

At what approximate y-value does the parabola intersect the y-axis?

  • 2
  • 5
  • -1 (correct)
  • 3

What are the approximate intervals where the parabola intersects the x-axis?

  • Between -2 and -1, and between 5 and 6
  • Between 0 and 1, and between 3 and 4
  • Between 1 and 2, and between 2 and 3
  • Between -1 and 0, and between 4 and 5 (correct)

What type of parabola is displayed in the graph?

<p>Downward-opening (A)</p> Signup and view all the answers

What are the coordinates of the vertex of the parabola?

<p>(2, 3) (C)</p> Signup and view all the answers

Flashcards

What is the range of a function?

The set of all possible output values (y-values) of a function.

What is a Parabola?

A U-shaped curve formed by a quadratic function.

What is the vertex of a parabola?

The highest or lowest point on a parabola.

What is the maximum y-value of the provided function?

The highest y-value that the function obtains. In this problem it is 3.

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What is the range of the graphed, downward-opening parabola?

All real numbers less than or equal to 3. Displayed as $(-\infty, 3]$.

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