Question

The graph of a transformed exponential function has the following characteristics:

Answer 1

Answer:

Step-by-step explanation:

The graph of a transformed exponential function has to be found out

Since asymptote is y=3 we have

$y=ab^x+3$

Substitute the given points to get

$4=ab+3\\19 = ab^{-2} +3\\16=\frac{1}{b^3} \\b=\sqrt[3]{\frac{1}{16} }$

Hence $a=\sqrt[3]{16}$

The function would be

$y=\sqrt[3]{16}(\sqrt[3]{\frac{1}{16} })^x+3$

When x=0 y intercept = 5.52

Hence none of the choices matches this.

Answer 2

C) (0, 7) 

the value of the y-intercept must be greater than 4 and less than 19 based on the coordinates given. (0,7) is the only value that fits that range.