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Mathematics 14 Online
OpenStudy (anonymous):

Which function below has the lowest y intercept? g(x) Al had two dozen donuts when he walked into the office, but every cubicle he passed, he lost 2 donuts. h(x) h(x) = 6x + 1 or..

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910 I'm not sure if you're online or not but I was just wondering if I could get some help

OpenStudy (anonymous):

a.f(x) b.g(x) c.h(x) d.The functions all have the same y intercept.

jimthompson5910 (jim_thompson5910):

are you able to find the equation for g(x) ?

OpenStudy (anonymous):

umm I'm not sure..

OpenStudy (anonymous):

I mean, is it y=24x-2?

OpenStudy (teddyiswatshecallsme):

y = mx + b where B is the y intercept so you're basically just looking for where the line intercepts the y-axis, and to me it just sounds like you're finding the lowest numerical value.

jimthompson5910 (jim_thompson5910):

not quite

OpenStudy (anonymous):

uhh ok..could you please clarify?

jimthompson5910 (jim_thompson5910):

it's actually g(x) = -2x + 24 the slope is -2, signifying he loses 2 donuts per cubicle (x = # of cubicles he passes) the y-intercept is 24, which is what he starts with

OpenStudy (anonymous):

ok, makes sense. Sorry

jimthompson5910 (jim_thompson5910):

as Teddyiswatshecallsme posted, the equation I have is in the form y = mx+b m = -2 is the slope b = 24 is the y-intercept

OpenStudy (anonymous):

So do I just look at all the B's and find which is the lowest?

jimthompson5910 (jim_thompson5910):

exactly

OpenStudy (teddyiswatshecallsme):

Its important to note that f(x) is the same as y, and g(x) is just the changed form of f(x)

jimthompson5910 (jim_thompson5910):

with the graph, the y-intercept is the point where it crosses the vertical y axis

OpenStudy (anonymous):

ok so is h(x) the lowest? Since it's B is 1?

OpenStudy (anonymous):

I'm pretty sure the answer is C but ha I'm not sure

jimthompson5910 (jim_thompson5910):

yeah the graph has a y intercept of 2 (larger than h(x)'s y intercept) and g(x) has the largest y intercept of 24

OpenStudy (anonymous):

Ok thank you tons!! I really appreciate it!

jimthompson5910 (jim_thompson5910):

you're welcome

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