Question

Find the range of the following function

Answer 1

\(\large \color{black}{\begin{align}f(x)=2-3x,\ x\in \mathbb{R},\ x>0 \hspace{.33em}\\~\\
\end{align}}\)

Answer 2

Can you graph 2-3x?

Answer 3

i cant use graph paper, i have to use pen and paper

Answer 4

you can still create a simple graph

Answer 5

^

Answer 6

then label y-intercept and x-intercept, so you can have good idea of what graph would look like.

Answer 7

:O

Answer 8

You could also find the domain of the inverse with the given restrictions.

Answer 9

what to do next @geerky42 after graphing

Answer 10

well the line crosses the y axis at (0,4)
and it asks for range when x is greater than 0
and range means all the y-values the graph goes through

Answer 11

Good, now what would graph look like with restriction of x>0?

Once you figured that part, you should be able to tell what range is.