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Sophie [7]
3 years ago
8

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

Mathematics
2 answers:
Andru [333]3 years ago
7 0

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.

Leno4ka [110]3 years ago
4 0
C) (0, 7) 
<span>
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.</span>
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