Question 181·Easy·Nonlinear Functions
The graph shown gives the estimated number of daily visits to a website as a function of the number of days since the website launched.
Which choice is the best interpretation of the -intercept of the graph in this context?
For an intercept-interpretation question, first translate the math meaning into the situation. The -intercept always occurs at , so replace with the context phrase (here, “the day it launched”), then read the corresponding -value from the graph and state what that quantity represents.
Hints
Locate the y-intercept
The -intercept is where the curve crosses the -axis.
Use x = 0
At the -intercept, . Think about what means in the situation.
Read the y-value there
Read the -value of the point where , and describe it using the context (visits and days).
Desmos Guide
Find the y-intercept on the graph
Look at where the curve crosses the -axis (this is where ).
Read the y-value at
Read the -coordinate of that point.
Interpret in context (final)
The point where has . Since means the launch day, this means the estimated number of daily visits to the website was on the day it launched.
Step-by-step Explanation
Identify what the y-intercept represents
On a graph of versus , the -intercept is the point where (where the graph crosses the -axis).
Interpret the point in context
Since is the number of days since the website launched, is the day it launched. The graph shows at , meaning there were daily visits on launch day.
Therefore, the correct choice is: The estimated number of daily visits to the website was on the day it launched.