CPM Homework Help : INT1 Problem 10-105

Match each equation below with its corresponding graph. Can you do this without making any tables?

$y=2^x-1$

$y=2^x+3$

$y=2^x+2$

1) Increasing exponential graph, passing through the point (0, comma 4), fairly level, at y = 3, left of the y axis, & climbing rapidly, right of the y axis.

2) Increasing exponential graph, passing through the point (0, comma 3), fairly level, at y = 2, left of the y axis, & climbing rapidly, right of the y axis.

3) Increasing exponential graph, passing through the origin, fairly level, at y = negative 1, left of the y axis, & climbing rapidly, right of the y axis.

Hint:

Consider the y-intercept for each function.

More Help:

Considering equation (a). The y-intercept is calculated by letting $x = 0$ .
So $y = 2^{0}−1$ so y = 0 when $x = 0$ .
Which graph has $(0,0)$ on it?