Assignment I

SUMMARY
1.Function and Exponent Function Graph
a.Exponent Function is functions that mapping each real number of x to real number ax, with a > 0 and a ≠ 1.
b.Exponent Function Graph
i.Definite if x elemen of R and the graph always on the top of x axis.
ii.Intersect with y axis at (0,1).
iii.Decline monotonous curve for 0 < a < 1.
iv.The horizontal asymptote is y = 0 or x axis

2.Exponent Equation
a.Exponent Equation is equations that obtain exponent with form of main number or exponent is function of variable.
b.Determined exponent equation; a > 0, a ≠ 1, b > 0, b ≠ 1
i.If af(x) = 1, then f(x) = 0
ii.If af(x) = ab, then f(x) = b
iii.If af(x) = ag(x), then g(x) = 0
iv.If af(x) = bf(x), then f(x) = 0
v.af(x) = bf(x) can be determined with logarithm help’s.
vi.If f(x)g(x) = f(x)h(x )there is 4 possible solution
1.g(x) = h(x)
2.f(x) = 1
3.f(x) = -1 if g(x) and h(x) is odd or both of them is even
4.f(x) = 0 if g(x) and h(x) is positive
vii. If f(x)h(x) = g(x)h(x) there is 2 possible solution
1.h(x) = 0, if f(x), g(x) ≠0
2.f(x)= g(x)
viii.A[af(x)]2 + B[af(x)] +C = 0 determine this in quadrate equation


3.Inequation Exponent
a.Inequation exponent is inequation which that exponent has form as variable obtain inequation sign ( >, < , ≥, ≤)

b.Determined inequation exponent
i.if af(x) < ag(x), then f(x) < g(x), for a>1
ii.if af(x) > ag(x), then f(x) > g(x), for a>1
iii.if af(x) < ag(x), then f(x) > g(x), for 0iv.if af(x) > ag(x), then f(x) < g(x), for 0