Question

Please help!!! I will mark someone brainliest!

Answer 1

Answer:

a = 8, b = $\frac{3}{2}$

Step-by-step explanation:

Given the exponential function

f(x) = a$b^{x}$

To find a and b use the given coordinate points on the graph

Using (0, 8 ), then

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

a = 8

f(x) = 8$b^{x}$

Using (2, 18 ) , then

18 = 8b² ( divide both sides by 8 )

$\frac{18}{8}$ = b² , that is

b² = $\frac{9}{4}$ ( take the square root of both sides )

b = $\sqrt{\frac{9}{4} }$ = $\frac{3}{2}$

Thus

f(x) = 8$(\frac{3}{2}) ^{x}$