Step-by-step explanation:
that means both functions deliver the same result for the same x.
therefore
x⁵ = x⁷
one solution is of course, x = 0.
the other(s) we get for x<>0 by dividing both sides by x⁵ :
1 = x²
that means we have 2 more solutions (a quadratic equation has 2 solutions, a cubic equation has 3 solutions,...) :
x = 1
x = -1
so, the intersection points are
for x = 0, we get y = 0⁵ (or 0⁷) = 0
for x = 1, we get y = 1⁵ (or 1⁷) = 1
for x = -1, we get y = (-1)⁵ or (-1)⁷ = -1
(-1, -1)
(0, 0)
(1, 1)
