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A function is defined by th equation d(x)=5(x-3)^2+1
1,list the transformation to the graph of f(x)=x^2 to get d(x)
2,state the domain and range of d(x)
3graph the function d(x)我不知道怎么画图...有时间的话麻烦解释一下
二,A football kicked from aheight of 0.5m.The height of the foot ball is modelled by the function b(t) = -5t^2 + 18t+0.5 ,where t is time in second and b(t) is height in metres
1.graph the function for reasonable values of t
2.explain why the values you chose for t in part(a) are reasonable.
3.what is the maximum jeight of the football?
4.At what time does the football reach the maxmum height
5.For how many seconds is the football in the air?
6.Express the domain and range inset notation

提问时间:2020-12-06

答案
郭敦顒回答:
A function is defined by th equation d(x)=5(x-3)^2+1
函数被定义为th方程d(x)=5(x-3)^2+1
1,list the transformation to the graph of f(x)=x^2 to get d(x)
按f(x)= x ^ 2的图象并用列表法进行转换,得到d(x)
2,state the domain and range of d(x)
求d(x)的值域和x的取值范围
3graph the function d(x)我不知道怎么画图...有时间的话麻烦解释一下
给予函数d(x)的图象
二,A football kicked from aheight of 0.5m.The height of the foot ball is modelled by the function b(t) = -5t^2 + 18t+0.5 ,where t is time in second and b(t) is height in metres
踢足球,脚球高度b(t)的模型由函数b(t)= 5 t ^ 2 + 18 t + 0.5给出.
求2 0.5米高时的时间t.
1.graph the function for reasonable values of t
按所予函数图,给出t的合理值.
2.explain why the values you chose for t in part(a) are reasonable.
解释上面1中的选择,t的值为什么是合理的(举出一个进行说明).
3 what is the maximum height of the football?
什么状况下足球的高度最大?
4.At what time does the football reach the maxmum height
在什么时候达到足球高度的最大值?
5.For how many seconds is the football in the air?
足球比赛是获得第二名吗?
6,Express the domain and range inset notation
用插图表示法表达(b(t))的值域和t的范围.
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graph the function d(x)我不知道怎么画图...有时间的话麻烦解释一下
d(x)=5(x-3)^2+1=5(x²-6x+9)+1=5x²-30x+46
对d(x)的自变量x和因变量d(x)进行计算并列表
X——0——1—2—3—4—5——6……
d(x)—46—21—6—1—6—21—46……
在直角坐标图上(把d(x)轴做为纵轴,相当于Y轴)按上面的数值进行描点,用曲线规(云形规)绘曲线即是.这是个抛物线,项点坐标是(3,1)
对d(x)求导并等于0时,d(x)有最小值
d′(x)=10x-30=0,∴d(x)=1,为最小.
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