Question

I need help graphing this function, finding the y intercept and stating the domain and range. I also dont know what the table should be for x and y. any help?

Answer 1

The given function is :

`y=((1)/(10))^x`

y-intercept :

The y-intercept are the coordinates of the graph, where x coordinates are zero

i.e. x = 0

Substitute x = 0 and simplify :

`\begin{gathered} y=((1)/(10))^x \\ y=((1)/(10))^0 \\ y=1 \end{gathered}`

y=1 is the y-intercept , (x,y) = (0,1)

Domain :

The domain is the set input values for the function for which the function is real and defined.

In the given function, there is no undefined points nor the domain constraints,

Therefore domain is :

[tex]-\inftyInterval Notation, Domain : (- ∞ < x < ∞)

For the table:

Substitute the value of x as 0,1,2 and simplify for y

We get :

Plot these coordinates on the graph: