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Functions, Graphs, and Limits

Functions, Graphs, and Limits

Example 1

Let y = f(x) = -x2 + 1.

  •  If x is greater than zero, and getting larger, is y getting larger or smaller?

Example 2

Let y = f(x) = -x2 + 1.

  • If x is greater than zero, and getting smaller, is y getting larger or smaller?

Example 3

Let y = f(x) = -x2 + 1.

  • If x is less than zero, and getting smaller, is y getting larger or smaller?

Example 4

Let y = f(x) = -x2 + 1.

  • If x is less than zero, and getting larger, is y getting larger or smaller?

Example 5

Let y = f(x) = -x2 + 1.

  • As x gets close to zero, what does y approach?
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