Question

given the following linear function sketch the graph of the function and find the domain and range f(x) =2/7x-2

Answer 1

Hope this helps. Domain and range are the same for this question. 

Answer 2

Answer: Domain of the function= $(-\infty 2/7)\cup(2/7,\infty)$, Range of the function = $(-\infty,0)\cup (0,\infty)$

Step-by-step explanation:

Since, The given function,  $f(x)=\frac{2}{7x-2}$

Which is a rational function.

For finding the domain, denominator ≠ 0

Therefore, 7x-2 ≠ 0 ⇒ 7x ≠ 2 ⇒ x ≠2/7

Thus domain of the function =  $(-\infty 2/7)\cup(2/7,\infty)$

since, $y=\frac{2}{7x-2}$

⇒y(7x-2)=2⇒7xy-2y=2⇒$x=\frac{2+2y}{7y}$

Thus, we know that For finding the range, 7y≠0⇒y≠0

Thus, range of the function = $(-\infty,0)\cup (0,\infty)$