select the correct answer. what is the y - intercept of f(x)=3^{x + 2}?\na. (9,0)\nb. (0,9)\nc. (0,-9)\nd…
select the correct answer. what is the y - intercept of f(x)=3^{x + 2}?\na. (9,0)\nb. (0,9)\nc. (0,-9)\nd. (9,-9)
Answer
Explanation:
Step1: Recall y - intercept concept
The y - intercept of a function (y = f(x)) is found by setting (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}=3^{2}).
Step3: Calculate the value
Since (3^{2}=9), the y - intercept is the point ((0,9)) because when (x = 0), (y=9).
Answer:
B. ((0,9))