Question

Would this be (0, -1) since if b is greater than 1 but it is also -2

Answer 1

The y-intercept is the point where the graph cuts the y-axis. The y-axis is the line x = 0, therefore, to find the y-coordinate of this point we just need to evaluate x = 0 in our function.

`\begin{gathered} y(x)=b^x-2 \\ y(0)=b^0-2 \end{gathered}`

Any nonzero real number raised to the power of zero is one, therefore

`y(0)=b^0-2=1-2=-1`

The y-intercept is (0, -1).