Question

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.

Answer 1

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)

Answer 2

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)