Respuesta :

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given function

[tex]g(x)=(\frac{2}{3})^x-2[/tex]

STEP 2: Plot the given function

STEP 3: choose the correct graph

It can be seen from the plotted graph in step 2 that:

[tex]\begin{gathered} x-intercept:(-1.71,0) \\ y-intercept:(0,-1) \end{gathered}[/tex]

Hence, comparing the x-intercepts, the correct graph is seen in:

Ver imagen BuckyZ635945
Ver imagen BuckyZ635945