Question

This is a pracitce sheet i am unsire how to solve this

Answer 1

We have the function:

`g(x)=3^x-2`

Question a.

The function represents an exponential growth because when

`x\longrightarrow\infty,\text{ g(}\infty)\longrightarrow3^(\infty)\longrightarrow\infty`

that is, y goes to + infinity

Question b.

The y-intercept ocurrs when x=0, that is

`\begin{gathered} g(0)=3^0-2 \\ g(0)=1-2 \\ g(0)=-1 \end{gathered}`

that is, the y-intercept is -1.

Question c.

The horizontal asymptote is at g(x)= -2

Question d.

The graph is: