We are dealing with exponential functions of the form y = ka bx , where k, a, b are constants with k ∈ N, a, b ∈ R, a > 0 and x, y are variables. 1.
Exponential curves of this form never cross the x-axis. They have no real roots.
y 2.
They always cross the y-axis. x = 0: y = ka0 = k
∴ (0, k) is the point at which such curves cross the y-axis. y
x (0, k) x 3. The curves are always increasing or decreasing.
