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Mathematics 18 Online
OpenStudy (anonymous):

PLS help i really dont get this, lesson didnt help. Which function has the greatest y-intercept?

OpenStudy (anonymous):

OpenStudy (agreene):

So, y intercepts happen when \(x=0\) this is because if you look, when x is 0 the graph will be somewhere on the y axis. for these examples; \[f(0)=-3(0)-5\\h(0)=2\cos(2(0)-\pi)+4\] for g(0) we can look at the graph and see it intercepts at 3 So, evaluate the above, and see which one gives the highest value

OpenStudy (darronw):

y= mx + b Where b, the number by itself, is the y-intercept, so the largest number on the end is the largest y-intercept

OpenStudy (agreene):

what @DarronW said is true of linear equations like \(f(x)\) in this problem, but not necessarily to everything

OpenStudy (darronw):

My example was a linear formula, feel free to give an example where the y-intercept is ever different from a lone number in function notation.

OpenStudy (anonymous):

okay, so wait solve both the f(0) and h(o) for highest value?

OpenStudy (agreene):

right, and i said g(0) wrong, it is actually -3 not 3

OpenStudy (agreene):

@DarronW \(h(x)\) in this example would be something where the trailing addition is not the intercept

OpenStudy (anonymous):

When i solved with the x=0 i got f(0)=-5 and h(0)= -5.996 Did I follow that right?

OpenStudy (agreene):

you did h(0) incorrectly; \[h(0)=2\cos(-\pi)+4=2(-1)+4\\h(0)=2\]

OpenStudy (anonymous):

okay so from there would the answer be f(x)?

OpenStudy (agreene):

No, look again: \[f(0)=-5\\g(0)=-3\\h(0)=2\]

OpenStudy (anonymous):

oh! So h(0) would be right because its greater right?

OpenStudy (agreene):

right!

OpenStudy (anonymous):

omg! thnx

OpenStudy (agreene):

no problem :)

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