有這樣一個(gè)問題:探究函數(shù)y=|x+1|的圖象與性質(zhì).
小強(qiáng)根據(jù)學(xué)習(xí)函數(shù)的經(jīng)驗(yàn),對(duì)函數(shù)y=|x+1|的圖象與性質(zhì)進(jìn)行了探究.下面是小強(qiáng)的探究過程,請(qǐng)補(bǔ)充完整:
(1)在函數(shù)y=|x+1|中,自變量x的取值范圍是
x為任意實(shí)數(shù)
x為任意實(shí)數(shù)
;
下表是y與x的幾組對(duì)應(yīng)值.
x |
… |
-4 |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
… |
y |
… |
3 |
2 |
1 |
0 |
1 |
m |
3 |
4 |
… |
①求m的值;
②如圖,在平面直角坐標(biāo)系xOy中,描出補(bǔ)全后的表中各組對(duì)應(yīng)值所對(duì)應(yīng)的點(diǎn),并畫出該函數(shù)的圖象;
(2)結(jié)合函數(shù)圖象,寫出該函數(shù)的一條性質(zhì):
當(dāng)x<-1時(shí),y隨x的增大而減??;當(dāng)x>-1時(shí),y隨x的增大而增大
當(dāng)x<-1時(shí),y隨x的增大而減??;當(dāng)x>-1時(shí),y隨x的增大而增大
.