25. algebraically determine whether the function k(x) = x6 - x2 + 7 is odd, even, or neither. explain your
reasoning

The function is EVEN.

Step-by-step explanation:

For this exercise it is important to remember that:

1. A function f(x) is even if and only if:

for all "x"

2. A function f(x) is odd if and only if:

for all "x"

So knowing that, and given the following function k(x):

You can plug in for "x", order to know if this is even. Then, you get:

Therefore, since:

You can determine that that the given function is Even.

32

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c