Question 514645: I am in need of some help regarding a problem. I have tried to work it several times, consulted with several friends, websites, and references sources and cannot figure this problem out. I am a visual learner, and was wondering if somebody could help me with the process to solve this type of problem.
Problem #2
Find the x-intercepts and y-intercepts
x-coordinates of the intercepts are?
the y-intercept is?
Thank you for your assistance.
Sincerely,
Christine Fitzerald
Answer by kingme18(98)   (Show Source):
You can put this solution on YOUR website! The y-intercept is the easy one, so let's start there. The point where a function intersects the y-axis ALWAYS has an x-coordinate of 0 (to plot the point, you haven't moved left or right at all, you've only moved up or down). Thus, to find the y-intercept, we can just plug in 0 for x.
So, the y-intercept is the point (0, 24)
To find the x-intercept, we do the opposite and plug 0 in for y:  . I hate having a negative in front of the  term, so let's divide everything by -1 (this will essentially change all the signs; 0 will still be 0 because 0 divided by -1 is still 0).
Now, we have  . This is factorable if we use -8 and 3 ( , the middle term, and  , the last term). So it can be re-written as  .
Recall that if two things multiply to 0, one of them must be 0 (for example, if  , then x=0). Thus, either  or  . If you solve each for x, you get x=8 or x=-3. Those are the two solutions when y=0, so those are the two x-intercepts: (8, 0) and (-3, 0).
|
|
|
