Question

Write an exponential function whose graph passes through the points (0, -3) and (4, -48)

Answer 1

Answer:

$y = -3(2^{x})$

Step-by-step explanation:

y = $kb^{x}$

Use (0, -3) to find k

$-3 = kb^{0} = k(1) = k$

So, k = -3

Now use (4, -48) to find b

-48 = $-3b^{4}$

$b^{4}$ = 16

b = 2

Since k = -3 and b = 2,   $y = -3(2^{x})$