What is the range of the function f(x) = (x + 3)2 + 4?

Range of is [4,∞).

Step-by-step explanation:

Here we have , function  , We need to find range of this function . Let's find out:

In the function , Let's focus on : It's a perfect square whose value will be always positive and greater then equal to zero i.e.

⇒ , So minimum value of is 0 at x=-3 . ∴

⇒

⇒

⇒

Minimum value of is 4 , And maximum value of  can be ∞ as value of x can be increased . Therefore , Range of is [4,∞).

both equations and proportions are better.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents