For a given function ƒ(x) = x5, a translation in the positive y-direction of two units is represented by which of the following? Question 5 options:

A)

ƒ(x + 2) = ( x – 2)5

B)

ƒ(x + 2) = (x + 2)5

C)

ƒ(x) – 2 = x5 – 2

D)

ƒ(x) + 2 = x5 + 2

D)  ƒ(x) + 2 = x5 + 2

Step-by-step explanation:

You have the following function:

          (1)

In the case of a vertical translation of the function on the coordinate system, you have that a translation of a units upward is obtained with the function f(x)+a. In the same way, a translation downward is obtined with f(x)-a.

Thus, a translation in the positive y direction of 2 units (a=2) is given by the following function.

D) ƒ(x) + 2 = x5 + 2

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x