Identify the interval(s) on which the function y = 2x^2 - 8x - 10 is positive. A. -1 B. x < -1 and x > 5
C. -5 D. X<-5 and x > 1

Given:

To find:

The interval(s) on which the given function is positive.

Solution:

We have,

For zeroes,

-1 and 5 divide the number line in three parts .

Interval        Selected Value                            Sign

               -2                             +

                    0                                -

                      6                                   +

So, the function is positive for interval and .

We can say that the function is positive for interval x < -1 and x > 5.

Therefore, the correct option is B.

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