CPM Homework Help : AC Problem 3-64

Use the clues in the graph at right to find a possible corresponding equation in $y=ab^x$ form. Assume the graph has an asymptote at the $x$ -axis.

Hint 1:

Use the information on the graph to find the coordinates of the unlabeled point.

Hint 2:

The two points on the graph are $\left(0, 4\right)$ and $\left(1, 7\right)$ .

Hint 3:

What is the multiplier, or common ratio?

Answer:

$y = 4\left(1.75\right)^{x}$

This increasing curve goes through the point (0, comma 4) and the point which is 1 unit to the right and 3 units up from (0, comma 4).