What is the correct answer? Choose a letter?

Question

3. Given the function f(x)=x2+10x+24, what is the range?

A. -6≤ x≤-4

B. f(x) ≥-6

C. f(x) ≥-1

D. All real numbers

Answer 1

Answer 2

To determine the range, you have to find the vertex. To find the vertex, start with the x coordinate.

c=-b/2a = -10/2 = -5 Now plug this into the equation to find y.

(-5)²+10(-5)+24 = -1

Since a is positive, this parabola opens up. So the range is [-1,∞) or C. f(x) ≥-1