Question

Graph the function and select the y-intercept

y = 2 • 3^x
a. 1
b. 2
c. 3
d. 4

Answer 1

To graph the function y = 2 • 3^x, we can start by identifying the y-intercept. The y-intercept is the point where the graph intersects the y-axis, which occurs when x = 0.

To find the y-intercept, we substitute x = 0 into the equation y = 2 • 3^x:

y = 2 • 3^0 = 2 • 1 = 2

Therefore, the y-intercept is 2, which corresponds to option (B).

Answer 2

For the graph see attached image.

The y-intercept is 2

Explanation:

The requested graph of the function is included in the attached image.

The y-intercept can be seen from the image, but also from finding the y-value when x= 0 (zero):

`y=2\,\,\,3^x\\y=2\,\,\,3^0\\y = 2 \,\,\,(1)\\y = 2`