Stitz-Zeager_College_Algebra_e-book

K list the local maximums if any exist l list the

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: points with a y value of 1, as seen in the graph below. That means there are two solutions to f (x) = 1. y 4 3 2 1 −4 −3 −2 −1 1 2 3 4 x −1 −2 −3 −4 9. As we move from left to right, the graph rises from (−4, −3) to (0, 3). This means f is increasing on the interval [−4, 0]. (Remember, the answer here is an interval on the x-axis.) 10. As we move from left to right, the graph falls from (0, 3) to (4, −3). This means f is decreasing on the interval [0, 4]. (Remember, the answer here is an interval on the x-axis.) 11. The function has its only local maximum at (0, 3). 12. There are no local minimums. Why don’t (−4, −3) and (4, −3) count? Let’s consider the point (−4, −3) for a moment. Recall that, in the definition of local minimum, there needs to be an open interval I which contains x = −4 such that f (−4) < f (x) for all x in I different from −4. But if we put an open interval around x = −4 a portion of that interval will lie outside of the domain of f . B...
View Full Document

This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

Ask a homework question - tutors are online