Question

Write an exponential function in the form y=ab^x that goes through the points (0,14) and (6,896)

Answer 1

Answer:

y = 14 $(2)^{x}$

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a$b^{0}$ [ $b^{0}$ = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 $b^{x}$

using (6, 896 )

896 = 14 $b^{6}$ ( divide both sides by 14 )

64 = $b^{6}$ ( take the sixth root of both sides )

b = $\sqrt[6]{64}$ = 2

Then

y = 14 $(2)^{x}$ ← is the exponential function