without graphing determine whether the function represents exponential growth or exponential decay then find the y-intercept. y=129(1.63)^x
A) exponential growth; 1.63
B) exponential decay; 1.63
C) exponential growth; 129
D) exponential decay; 129
A) exponential growth; 1.63
To determine whether the function represents exponential growth or decay, we look at the base of the exponential term. In this case, the base is 1.63, which is greater than 1. Therefore, the function represents exponential growth.
To find the y-intercept, we set x to 0 in the function and solve for y:
y = 129(1.63)^0
y = 129(1)
y = 129
Therefore, the y-intercept is 129.