select the correct answer.\nwhat is the y - intercept of ( f(x)=3^{x + 2} )?\na. ( (9,0) )\nb. ( (0,9) )\nc…

Explanation:

Step1: Recall the definition of y - intercept

The y - intercept of a function (y = f(x)) is the value of (y) when (x = 0).

Step2: Substitute (x = 0) into the function

Given (f(x)=3^{x + 2}), when (x = 0), we have (f(0)=3^{0+2}). Using the exponent rule (a^{m + n}=a^{m}\times a^{n}), so (3^{0+2}=3^{0}\times3^{2}). Since (a^{0}=1) ((a\neq0)), then (3^{0}\times3^{2}=1\times9 = 9).

Answer:

B. ((0,9))