Question

Find the interval in which the function is positive. f(x) = x2 - 7x + 10 I. (-, 2) II. (2, 5) III. (5,)

Answer 1

Explanation:

f(x) = x2-7x+10

f(x) = -5x+10 = -5(x-2)

= 10-5x

Let, f(x) = 0

0 = 10-5x

5x = 10

x = 2

f(2) = 10 - 10 = 0

f(5) = 10-5(5) = 10-25 = -15

Let, f(y) = f(x)

= 10-5x

y = -0

So, the correct answer is I. (- , 2) ✔✔