Question

If the domain of f (x) = 2x + 1 is {-2 < x < 3}, which integer is not in the range?

[1] -4 [2] -2 [3] 0 [4] 7

and show the work please


If the domain of f (x) = 2x + 1 is {-2 < x < 3}, which integer is not in the range?

[1] -4 [2] -2 [3] 0 [4] 7

and show the work please
@Mathematics

Answer 1

First, you should recognize that this is a line that is monotonically increasing. That means that as x increase, f(x) also increases. That being said, we can simply plug in the smallest and largest values of x to determine the range of f(x).
\[2(-2)+1=-3\]
\[2(3)+1=7\]
So the range is (-3, 7). The answer is [1].

(Technically, the answer could also be [4] because the range is not inclusive, but I am willing to bet that is an oversight.)