Check all of the functions that are odd. f(x)=x3-x2 f(x)=x5-3x3+2x f(x) = 4x + 9 f(x)=1/x

A function is odd if and only if:

f(-x) = -f(x)

For every value of x in its domain.

We will see that the odd functions are:

f(x) = x^5 - 3*x^3 + 2*x

f(x) = 1/x

Now we only need to test the above condition for all the given functions:

1) f(x) = x^3 - x^2

Evaluating this in -x we get:

f(-x) = (-x)^3 - (-x)^2 = -x^3 - x^2

Here we can see that:

f(-x) ≠ -f(x)

Thus, this function is not odd.

2) f(x) = x^5 - 3*x^3 + 2*x

Evaluating in -x we get:

f(-x) = (-x)^5 - 3*(-x)^3 + 2*(-x)

      = -x^5 + 3*x^3 - 2*x = -f(x)

This function is odd.

3) f(x) = 4x + 9

Evaluating in -x we get:

f(-x) = 4*(-x) + 9 = -4*x + 9

while:

-f(x) = -( 4*x + 9) = -4*x - 9

Thus: f(-x) ≠ -f(x)

Then this function is not odd.

4) f(x)  = 1/x

Evaluating in -x we get:

f(-x) = 1/(-x) = -1/x

Then we can see that:

f(-x) = -f(x)

Thus this function is odd.

If you want to learn more, you can read:

link

The odd function among the given choices are:

Step-by-step explanation:

We have to check which of the following function is odd.

We know that a function f(x) is said to be an odd function if:

1)

on replacing x with -x we have:

Hence, the given function f(x) is not an odd function.

2)

on replacing x with -x we have:

Hence, function f(x) is an odd function.

3)

on replacing x with -x we have:

Hence, function f(x) is not an odd function.

4)

on replacing x with -x we have:

Hence, the given function f(x) is an odd function.

c is the correct answer

step-by-step explanation:

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet