如何为曲线$ y = f（x）$设置动画？

Question

我想从y = (x - 3) * (x - 5) * (x - 7) + 85到x=1绘制曲线x=10。我尝试使用animation.FuncAnimation()在屏幕上设置动画该曲线，但无法正确执行。我在这里粘贴我的代码。如何为该曲线设置动画？

代码：

import matplotlib as mpl
mpl.rc('text', usetex = True) #for LaTex notation in 
the Plot
mpl.rc('font', family = 'serif')
import matplotlib.pyplot as plt
import numpy as np
from matplotlib import animation


title = 'Growing Curve.'

# First set up the figure, the axis, and the plot 
element we want to animate
fig = plt.figure()
ax = plt.axes()
line, = ax.plot([], [], lw=2)

#plt.gca().set_aspect('equal', adjustable='box')
plt.style.use(['ggplot','dark_background'])

def f(x):
    y = (x - 3) * (x - 5) * (x - 7) + 85
    return(y)

a, b = 2, 9
x = []
y = []

# initialization function: plot the background of 
each frame
def init():
    line.set_data([], [])
    return line,

# animation function.  This is called sequentially
def animate(i):
    x = np.arange(1, i, 0.001)
    y = f(x)
    line.set_data(x,y)

    return line,

plt.xlabel('$x$')
ax.xaxis.set_label_coords(1.05, -0.025) #for putting 
xlabel at the end of the axis
plt.ylabel('$y$')
ax.yaxis.set_label_coords(-0.025, 1.05)
plt.title(title, y = 1.03)
plt.ylim(ymin=0)
#plt.legend(loc='upper center', bbox_to_anchor=(0.5, 
-0.19))

#Customize the axes and gridlines:
ax.grid(False)
ax.spines['right'].set_visible(False)
ax.spines['top'].set_visible(False)

#TickMarks Customization:
ax.set_xticks((a, b))
ax.set_xticklabels(('$a$', '$b$'))
ax.set_yticks([])

# Only show ticks on the left and bottom spines:
ax.xaxis.set_ticks_position('bottom') 

anim = animation.FuncAnimation(fig, animate 
,init_func=init, 
                               interval=200, 
blit=True, repeat=False)
anim.save('Curve.mp4', writer = 'ffmpeg', fps = 2, 
dpi=50,extra_args=['-vcodec', 'libx264'])

plt.show()