Question

What are the points for f(x)=3^(x-1)-2

Answer 1

Answer: (0, -1
`(2)/(3)`), (1, -1), (2, 1)

Explanation:

Set the exponent equal to zero - that is your anchor point.

Then choose an x-value less than and greater than the anchor point.

`\left\begin{array}c&\underline{\quad x\quad }&\underline{\qquad \qquad f(x)\qquad \qquad \qquad \quad }\\\text{less than anchor}&0&3^(0-1)-2=3^(-1)-2=(1)/(3)-2 = -1(2)/(3)}\\\\anchor\ point&1&3^(1-1)-2=3^(0)-2=1-2 = -1}\\\\\text{greater than anchor}&2&3^(2-1)-2=3^(1)-2=3-2 = 1}\end{array}\right`