CPM Homework Help : AC Problem 4-141

Find the coordinates of the intercepts for each of the following functions: Homework Help ✎
1. g(x) = (x + 3)³
2. y − 1 = 3^x

Step 1(a):

y-intercept where x = 0:

g(0) = (0 + 3)³

g(0) = 27

Step 2(a):

x-intercept where g(x) = 0:

0 = (x + 3)³

$\sqrt[3]{0}=(\textit{x}+3)$

−3 = x

Answer (a):

The y-intercept is at (0, 27).
The x-intercept is at (−3, 0).

Hint (b):

See part (a).