Question

How do you find the y intercept of an exponential function `q(x) = -7^(x-4) -1`?

Answer 1

The y intercept of ANY function is found by setting `x=0`.
For this function is the y intercept is
`q(0)=-1/7^4-1=-2402/2401=1.00041649313`

Explanation:

The y intercept of ANY two variable function is found by setting `x=0`.

We have the function
`q(x) = -7^(x-4) -1`
So we set x=0
`y_{i n t}=q(0) = -7^(0-4) -1`
`= -7^(-4) -1`
flipping the negative exponent upside down we have
`= -1/7^(4) -1`
Now we just play with the fractions to get the correct answer.
`-1/2401-1=-1/2401-2401/2401=-2402/2401=1.00041649313`