select the correct answer. which statement is true about the function shown in the graph? f(x)=2\\sqrt{x +…

select the correct answer. which statement is true about the function shown in the graph? f(x)=2\\sqrt{x + 4} a. the function is strictly increasing. b. the function is strictly decreasing. c. the function is increasing and decreasing. d. the function is constant.

select the correct answer. which statement is true about the function shown in the graph? f(x)=2\\sqrt{x + 4} a. the function is strictly increasing. b. the function is strictly decreasing. c. the function is increasing and decreasing. d. the function is constant.

Answer

Explanation:

Step1: Analyze the graph trend

As we move from left - to - right on the domain of the function (f(x)=2\sqrt{x + 4}) (where (x\geq - 4)), the (y) - values of the function are getting larger.

Step2: Recall function behavior definitions

A strictly increasing function is one where if (x_1<x_2) in the domain, then (f(x_1)<f(x_2)). Since the (y) - values increase as (x) increases for this function, it is strictly increasing.

Answer:

A. The function is strictly increasing.