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

1 Answer
May 16, 2016

Answer:

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#