Question

What is the y-intercept of the exponential function?

f(x)=−1/8(4)^x+3+6

Answer 1

Answer:

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Answer 2

ANSWER:

The y – intercept of given exponential function $f(x)=\frac{-1}{8}(4)^{x+3}+6$ is -2

SOLUTION:

Given, exponential function is

$f(x)=\frac{-1}{8}(4)^{x+3}+6$

We have to find the y – intercept of the above function.

We know that, y– intercept is the value of y on a point where the given function meets y – axis.

At that point x always be 0. So put x = 0 in f(x).

$f(0)=\frac{-1}{8} 4^{0+3}+6$

$\frac{-1}{8} 4^{3} + 6\\\\\frac{-1}{8}(64) + 6\\\\-8 + 6 = -2$

Hence, the y – intercept of given exponential function is -2