Answer:
y=e^x - 4
Step-by-step explanation:
The log functions decrease with increasing x. The line shown increases as x increases, so it must be one of the two e^x equations. We can decide which one by calculating which equation povides the correct values to match the two points the curve crosses the y and x axes.
The graph shows the line crossing the y axis at -3 (0,-3)
It shows it crossing the x axis at a little over 1, perhaps 1.4 (1.4,0).
When x=0, e^0 = 1.
Look at the point (0,-3):
We know the e term will be 1 (e^0 = 1), so for y to be -3, we need to subtract 4: The form e^x - 4 would yield a value for y, when x is 0, of y = 1 - 4 or -3.
Check the other point (1.4,0):
y = e^1.4 is equal to 4.00
y = 4.00 - 4
y = 0
This point is also correct (1.4,0)
The correct equation is y=e^x - 4
