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# Polynomial Functions.pdf

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### Polynomial Functions.pdf

1. 1. P°lYn°mlal5 Objective; To graph polynomial functions PreCalC and Rational Mr. Lomas Functions 2) Find the x and y—intercepts: 2x + By = -15 **Write answers as ordered pairs
2. 2. Form of Polynomial Function A olynomial function has the standard form A, _ gs = aux” + an_1x"’1 +. ..+ ao, where o. i:; °(l each a is a real number and n is a nonnegative integ_e_r "0 , :' ; "1~o 5:? » in . ‘,«. ;.’o; <.1 Degree- )1 ', Oﬁobnen 7- I: <(4=; 'i<iingPC_<_>>°f:71°"i”; §3é‘Q'I<7e4’l' o‘. l: lti })l0S'l_ 99’ ‘ )3 ®; <’+§ )V3F‘f Determine if the following are polynomial functions.
3. 3. 1 Terms or Pol , c c omial Functions ° X l'"lcrc—(’ot AMn1;ip1ignp‘~1=l- u-F Times -? &ro occurs ¢0dd— Crosses ‘1"3rzs. ,J :1 Even— ‘l'Ou¢A) bu‘/ Kg‘ (395 > local mix/ mus
4. 4. ‘1>Graph each of the following on your calculator ibsketch the ends of the graphs c c c " ‘1>Is there a recognizable Pattern? f(x) = —W f(x) = 5 l eye“ Mill" U f(x)= —2x4+x3-x2+9x+2 f(-")=4x“+3x3‘2-"2+2 LeaA; :,¢ooC{-1r-i<~CJ‘: -- -3R3ylfT_9o9s we 7 X-§%0 - -=5 Riglﬁ Guts low Dar“ 0 Q40 “"5 l€‘l: "l'°iS SW45 r'o'glrr )<">"O0 OM ‘Q’ I-(‘l"T 1'5 OFﬂ53v"i'{
5. 5. For the polynomial function, f, complete the following: f(x): (x+1)(x_2)2 A) Find the x— and y— intercepts. *** WRITE IN ORDERED PAIR FORM '§. . ’x. ',— l -1 X —in"i'~' O/ =g (x. -, D(: §-D. ,1: "’ B) DetermIne_whet_her the graph cross 5 or touches at x-int }'l'l! t., l'J'. 'g. ll¢t", ’ CKDSSQS eff" -’£ 03 ~17)! -'-c. i~. ..S 4‘-'l(é. ,O> (D¢u»: L. _;) C) Determine the end behavior of f(x) = (X4 06‘ Xx ; :|’~? ";- : g v I-C’ l): .| ... . IL "‘ D) Sketc/ h the graph of f(x) without a graphing calculator. ni. ‘. .;l's: -A *. I sf . .j ‘*9 ". - _I_ -I ‘ll, l . . V<. ‘’®‘' l'(‘. l\$l ‘. / I / , v -—'2 00 '-'‘*’: :'m' -1‘) , _., /. / K17 y’, ‘K’!
6. 6. For the polynomial function, f, complete the following: f(x) : _2(x_3)(x+1)(x_1)4 A) Find the x— and y— intercepts. *** WRITE IN ORDERED PAIR FORM. B) Determine whether the graph crosses or touches at x-int C) Determine the end behavior of f(x) D) Sketch the graph of f(x) without a graphing calculator.
7. 7. For the polynomial function, I‘, complete the fo/ /owing: f(x) = 2(x_1)3 (x2 +1)(x+3) A) Find the x— and y— intercepts. *** WRITE IN ORDERED PAIR FORM. B) Determine whether the graph crosses or touches at x-int C) Determine the end behavior of f(x) D) Sketch the graph of f(x) without a graphing calculator.
8. 8. FOR EACH POLYIVOMIAL FUNCTION, F, COMPLETE THE FOLLOWING. ‘ f(x) = (x+4)2 (x—1)3 A) Find the x— and y— intercepts. *** WRITE IN ORDERED PAIR FORM. B) Determine whether the graph crosses or touches at x-int C) Determine the end behavior of f(x) D) Sketch the graph of f(x) without a graphing calculator.