**Unformatted text preview: **MHF4U Hyde 1.5.1 Polynomial Functions True or False identify each statement as true or false. Justify true statements. Correct
false statements or provide counter-examples. 1. The x—intercepts of the function y: 2(x+1)(x— 3)(x— 4) are— —1, 2, 3and4. f:
2 5 .4!- C. /,-/\07L Q"- I’Jf 2. if the end behaviour of a function Is as x —> oo,y —> 00, the function has a
positive leading coefficient. ] [WA/Z. . 3. The function y = 2(x—1)(x+ 2)(x—3) has the same x-intercepts as
y =-5(x—1Xx+2Xx—3). 1W2 , 4. A cubic function can have up to 3 y—intercepts. / y/eé ; “’15 ””17
(CH Aug; 6'4 117/ /¢7f’i 47L 5. There are an infinite number of cubic functions that have X—intercepts of
—2, O, and 3. 7f-5Q pm "/rés; 6 The zeroes ofthe functizons y: x —5x +4 and y: (x+1)(x 1)(x+2)(x— 2) arethe same. ‘ﬂZ/W" ”HY/>5 l) .
£7: /as .Z'>(;‘f?>(’kl 0647;) 77vv< 7 A degree of four IS the highest degree that a ubicyiunction can have.
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8 A cubic function has to have at least one x- intercept ”Tm/a
9. The domain and range for all quartic functions will never be restricted.
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10. The domain and range for all cubic functions will never be restricted. /’ I’m. (“’%”V”//§’)
11. A quartic function can have three x-intercepts. 7‘7 12. A cubic function ca aMFIave four x—intercepts.
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13. The leading coefficient does not influenceZ the graph 0 quadratic functions gigs/3g, @4142 (we? Meals weeks/y 14. x— —intercepts do not change when a graph is reflected on the x—axis.
TWA/é. 15. The function y: (x 3) (x+1) would have two x—intercepts
[face [/2 w4.92/Lu2s. 45“: 3 ”/ 16. The function y=(x—2Xx—2Xx-f2) Would have three x—intercepts.
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- Spring '15
- Quadratic equation, 5 l, 47L, 07L