ex_sol(8)

ex_sol(8) - 1 Example 5: How to find the domain of the...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 1 Example 5: How to find the domain of the inverse function f −1 ? Please follow my guidance. • Look at the graph of f (x) = a(x + 2)2 − 1 on the next page. Do you understand why the graph is half of the parabola? Please read Part 1 to see the reasoning. • After you read Part 1 to understand the graph, can you find the range of the function f in this example? • What is the range of f ? It is the set of all the y -values of the graph of f . Since the graph of f is half of the parabola, the y -values start from the y -value of the vertex (i.e., −1). Because the x-value of the vertex (i.e., −2) is not included in the GIVEN domain (−2, ∞), then the y -value of the vertex is not included in the range of f , either. Look at the graph; it has the empty hole there. Then the range of f is (−1, ∞). • Remember that the domain of the inverse f −1 is the range of f . So, the domain of f −1 = the range of f = (−1, ∞). Then among the choices, we choose the 2nd and the last ones. Which one is the right answer? Let’s move to Part 2 of the next page. 1 2 3 2 Example 6 : 4 5 ...
View Full Document

This note was uploaded on 05/23/2011 for the course MAC 1147 taught by Professor Nuegyen during the Spring '11 term at FSU.

Page1 / 5

ex_sol(8) - 1 Example 5: How to find the domain of the...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online