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

1 Answer
May 16, 2016

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