Question

What is the range of the function f(x)=(x+4)²+5

Answer 1

Answer:

$Range=\left \{y|y\geq 5\right \}$

Step-by-step explanation:

Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:

$Range=\left \{y|y\geq 5\right \}$