Determine the y-intercept of the exponential function y=6.05(0.83)x. Write your answer as an ordered pair enclosed in parentheses.
What is y when x=0?
The ordered pair looks like (x,6.05(0.83)x). Evaluate this for x=0.
BTW, where is the exponential sign ^ ?
Do you mean 6.05(.083)^x?
yes
To find the y-intercept of an exponential function, you can substitute x=0 into the equation and solve for y. For the given function, y=6.05(0.83)^x, let's find the value of y when x=0.
Substituting x=0 into the equation, we have:
y = 6.05(0.83)^0
Now, any number (except for 0) raised to the power of 0 is equal to 1. Therefore, (0.83)^0 = 1.
So, the equation simplifies to:
y = 6.05(1)
Multiplying 6.05 by 1, we get:
y = 6.05
Therefore, the y-intercept of the exponential function y = 6.05(0.83)^x is (0, 6.05).