Question

2-Determine el rango de la función f(x)=0,5x2 -10x +70​

Answer 1

Explicación paso a paso:

f(x) = 0,5X² -10X + 70

2f(x) = 2( 0,5X² - 10x + 70)

2f(x) = X² - 20X + 140

2f(x) = (X - 10)² + 40

f(x) = 1/2(X - 10)² + 20

-∞ < x < +∞

-∞ < x - 10 < +∞

0 ≤ (x - 10)² < +∞

0 ≤ 1/2(x - 10) < +∞

20 ≤ 1/2(x -10) + 20 < +∞

ran(f(x)) = [20 , +∞>