+f(x) = x what is the range of the function graphed above? a. (-0,0) b. [0,2-) c. cd. (0,0)

The range of the function is [0 , ∞) ⇒ answer B

Step-by-step explanation:

* lets revise the meaning of the domain and the range

- The domain is the values of x

- The domain is all the values of x which make the function is defined

- If there are some values of x make the function undefined, we

 exclude these values from the domain

- The range is the values of f(x) which corresponding to the value of x

* Now lets look to the figure

∵ f(x) = √x

- We can not use the negative values for x because there is no

 square root for negative numbers

∴ All real negative numbers make the function undefined

- We must exclude them from the domain

∴ The domain is all real numbers greater than or equal zero

∴ x ≥ 0

- To find the range use the first value of the domain

∵ the first value of x = 0

∴ f(0) = √0 = 0

∵ x can not be negative

∵ f(x) = √x

∴ f(x) can not be negative

∴ the range is all real numbers greater than or equal zero

∴ f(x) ≥ 0

OR

f(x) = [0 , ∞)

* The range of the function is [0 , ∞)

you can't solve x because it is 2 linear equation and you only have one equation