The function f(x) = 3(1/2)^x represents decay because as x increases, the value of (1/2)^x gets smaller.
To find the y-intercept of f(x), we need to find the value of f(x) when x is equal to 0.
Substituting x = 0 into the function yields f(0) = 3(1/2)^0 = 3(1) = 3.
Therefore, the y-intercept of f(x) is (0, 3).
The correct answer is (d) Decay; (0, 3).
Does the function f of x equals 3 times the quantity 1 over 2 end quantity to the x power represent growth or decay? What is the y-intercept of f(x)?
a. Growth; 0 comma one-half
b. Growth; (0, 3)
c. Decay; 0 comma one-half
d. Decay; (0, 3)
1 answer