Question 1061076: Find the indicated intercept(s) of the graph of the function.
y-intercept of f(x) = (5x-15)(x-4) / x^2+12x-19
a. (0, 3)
b. (0, 4)
c. (0, 60 / 19)
d. (0, -60 / 19)
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The function should be written as
f(x) = (5x-15)(x-4) / (x^2+12x-19) = ,
because if the expression  is not "under a roof",
you need to "wrap it" in brackets to indicate that it must be calculated first,
and then divide  by the value calculated for .
If you cannot "put a roof over it", "wrap it".
All the options given have  ,
because the first number in all those ordered pairs is  .
When , the value for  is
 ,
so  is the correct answer.
What it means is that the y-intercept of the function,
where and the graph is crossing the y-axis is the point  .
 .
The graph crosses the x-axis at  and  ,
so it also has x-intercepts at (3,0) and (4,0) ,
but that was not the question,
and those were not choices.
(The choices (3,0) and (4,0) were there just to trick you, in case you were rushing through the problem).
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