{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Sec 41-with-poppers-filled

# Sec 41-with-poppers-filled - Math 1310 Section 4.1...

This preview shows pages 1–6. Sign up to view the full content.

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

View Full Document
Math 1310 Class Notes – Section 4.1, Page 1 of 12 Math 1310 Section 4.1 Polynomial Functions General information A polynomial function is a function of the form 0 1 2 2 2 2 1 1 ) ( a x a x a x a x a x a x P n n n n n n + + + + + + = - - - - where 0 n a , n a a a , , , 1 0 are real numbers and n is a whole number. The degree of the polynomial function is n . We call the term n n x a the leading term, and n a is called the leading coefficient. . ) 0 ( 0 a P = Our objectives in working with polynomial functions will be, first, to gather information about the graph of the function and, second, to use that information to generate a reasonably good graph without plotting a lot of points. In later examples, we’ll use information given to us about the graph of a function to write its equation. Power functions We’ll start with the shapes of the graphs of functions of the form . 0 , ) ( = n x x f n You should be familiar with the graphs of 2 ) ( x x f = and . ) ( 3 x x g =
Math 1310 Class Notes – Section 4.1, Page 2 of 12 POPPERS!! 6. C The graph of 0 , ) ( = n x x f n , n is even, will resemble the graph of 2 ) ( x x f = , and the graph of 0 , ) ( = n x x f n , n is odd, will resemble the graph of 3 ) ( x x f = .

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

View Full Document
Math 1310 Class Notes – Section 4.1, Page 3 of 12 End behavior Next, you will need to be able to describe the end behavior of a function. If the degree of the function is even and 0 n a , then the end behavior of the function is If the degree of the function is even and 0 < n a , then the end behavior of the function is
Math 1310 Class Notes – Section 4.1, Page 4 of 12

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

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

{[ snackBarMessage ]}

### Page1 / 13

Sec 41-with-poppers-filled - Math 1310 Section 4.1...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online