Help with a function graphing problem!

[Em245]

Hello

I'm trying to do this problem, but have run into some issues.

The function shown models the depth d (in inches) of snow on the ground during the first 9 hours of a snowstorm, where t is the time (in hours) after the snowstorm begins. The equation given is d(t)=1/2 t+6

I need to graph this and find the domain and range - I figured out that the y-intercept is (0,6) and the slope is 1/2, but when I graph this, the slope makes it last for 10 hours, not 9. I tried moving the end point so that the line would stop at 9 hours, which would make the domain 0 <(or equal to) x <(or equal to) 9, but this is wrong!

Any help would be very much appreciated!

 

[Otis]

… d(t)=1/2 t+6 …when I graph this, the slope makes it last for 10 hours, not 9 …

Hi Em. I'm not sure what you're thinking about, when you say the slope makes the graph last for 10 hours. The leftmost point is (0,6) and the rightmost point is (9,Y).

What do you get for Y, when you calculate d(9) ?

?

 

[Steven G]

Seriously error ALL parts of the line that have t<0 as well as t>9 and your concern is gone. If not then please try your best explaining why you think your answer has to have t values bigger than 10.

In fact, maybe not for this problem, but many times I would pick values outside the domain to find points for a line but then when I draw the line I stay within the given domain