Question

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Answer 1

y = -2*0.5ˣ

Explanation:

general formula for exponential function: y = abˣ

for point (0 , -2): -2 = a*b⁰ = a * 1 = a

a = -2

for point (-1 , -4): -4 = (-2) * b⁻¹ b⁻¹ = (-4) / (-2) = 2

b = 1/2

exponential function: y = -2*0.5ˣ