問(wèn)題探究:小江同學(xué)根據(jù)學(xué)習(xí)函數(shù)的經(jīng)驗(yàn),對(duì)函數(shù)y=-2|x|+5的圖象和性質(zhì)進(jìn)行了探究.下面是小剛的探究過(guò)程,請(qǐng)你解決相關(guān)問(wèn)題:
(Ⅰ)在函數(shù)y=-2|x|+5中,自變量x可以是任意實(shí)數(shù);
(Ⅱ)如表y與x的幾組對(duì)應(yīng)值:
x |
… |
-4 |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
4 |
… |
y |
… |
-3 |
-1 |
1 |
3 |
5 |
3 |
1 |
-1 |
-3 |
… |
(Ⅲ)如圖,在平面直角坐標(biāo)系中,描出以表中各對(duì)對(duì)應(yīng)值為坐標(biāo)的點(diǎn),并根據(jù)描出的點(diǎn),請(qǐng)你畫(huà)出該函數(shù)的圖象;
(1)若A(m,n),B(6,n)為該函數(shù)圖象上不同的兩點(diǎn),則m=
-6
-6
;
(2)觀察函數(shù)y=-2|x|+5的圖象,寫(xiě)出該圖象的兩條性質(zhì):
①
函數(shù)圖象關(guān)于y軸對(duì)稱(chēng)
函數(shù)圖象關(guān)于y軸對(duì)稱(chēng)
;
②
函數(shù)有最大值5
函數(shù)有最大值5
.
(3)當(dāng)-1<-2|x|+5≤3時(shí),自變量x的取值范圍是
-3<x≤-1或1≤x<3
-3<x≤-1或1≤x<3
.