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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



a.f(x)

b.g(x)

c.h(x)

d.The functions all have the same y intercept.

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 class=

Verified Answer :

g(x) = -2x + 24.....y intercept = 24
h(x) = 6x + 1........y intercept = 1
graph f(x) = -1/2x + 2....y intercept = 2

lowest y intercept is h(x)



Our first function is g(x). Al had two dozen donuts means that two dozen is the y-intercept of this function. A dozen equals 12, therefore two dozens is 24. Every cubicle he passed, he lost 2 donuts is the slope of the function and it is negative, that is -2, thus:


\(g(x)=-2x+24 \\ \\ \boxed{y-intercept = 24}\)


The second equation is h(x):


\(h(x)=6x+1\)

So:

\(\boxed{y-intercept=1}\)


From the graph, we can see that the f(x) intersects the y-axis at:


\(\boxed{y-intercept=2}\)


Accordingly, h(x) has the lowest y intercept.


In conclusion, the right answer is c.h(x)