判斷不同指數函數
\圖形底數的大小

y=a^x

y=b^x

y=c^x

y=d^x

請比較\;a,b,c,d\;與1的大小

考慮作直線\;L:x=1

L:x=1

考慮L與\;4\;個函數的交點
\x\;坐標都是\;1

a

b

c

d

觀察交點的\;y\;坐標

又指數函數必通過(0,1)

故d>c>1>b>a

s = 0 (slider from 0 to 11, step 1)
f_4(x) = 1.6^(x)
f_3(x) = 3.5^(x)
f_1(x) = 0.6^(x)
f_2(x) = 0.2^(x)
A: (1, y(Corner[1]))
B: (1, y(Corner[4]))
t6 = 0 (slider from 0 to 1, step 0.01)
C: A + (t6 * Vector[A, B])
a_6 = Segment(A, C)
D = Corner(4)
E = Intersect(f_2, a_6, (1, 0.2))
F = Intersect(f_1, a_6, (1, 0.6))
G = Intersect(f_4, a_6, (1, 1.6))
H = Intersect(f_3, a_6, (1, 3.5))
t8 = 0 (slider from 0 to 1, step 0.01)
E_1: (0, y(E))
F_1: (0, y(F))
G_1: (0, y(G))
H_1: (0, y(H))
E_3: E + (t8 * Vector[E, E_1])
F_3: F + (t8 * Vector[F, F_1])
G_3: G + (t8 * Vector[G, G_1])
H_3: H + (t8 * Vector[H, H_1])
b_1 = Vector(E, E_3)
b_2 = Vector(F, F_3)
b_3 = Vector(G, G_3)
b_4 = Vector(H, H_3)
P = Corner(4)