内容正文:
20.3 函数的表示
函数关系的表示法:
1.表达式
2.图像法
3.表格
自变量x的取值范围是x>0
问题1.
你能写出正方形的边长x与面积S的函数关系式,并确定自变量x的取值范围吗?
问题研讨
S=x2
问题2. 能利用图像法来表示S与x的关系吗?
提示:自变量x的一个确定值与它对应的函数值S,就确定一个点(x,S)
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(1) 列表:
x 0 0.5 1 1.5 2 2.5 3 3.5 4
S
(2)描点:表示与函数对应的点有无数个,但是实际上我们只能描出其中有限个点,同时想象出其它点的位置.
如何在坐标系中表示S=x2?
1
0.25
4
9
16
2.25
6.25
12.25
0
(3)连线:用平滑的曲线去连接画出的点.
想一想
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