Question

graph f(x)=2/x-3 -2
domain of graph
range of graph

Answer 1

this function?

\[f(x) = \frac{2}{x-3} - 2\]

Answer 2

yes

Answer 3

ok, lets graph it first.

we should think about x and y axis intecepts,

first for y intercept, find the value of y when x = 0

can you do that for me?

Answer 4

y = f(x)

Answer 5

so what is f(0) ?

Answer 6

0

Answer 7

\[f(x) = \frac{2}{x-3} -2\]

\[f(0) = \frac{2}{0-3} -2 = \frac{2}{-3} - 2 = -\frac{8}{3}\]

ok?

Answer 8

okay i understand that part

Answer 9

so this tells us that when x = 0 , y = -8/3 :



next we have to find the x value when y = 0

Answer 10

\[0 = \frac{2}{x-3} - 2\]

\[2 = \frac{2}{x-3}\]
\[2(x-3) = 2\]

\[(x-3) = 1\]
\[x = 4\]