G(-4)
=1/2((-4)-1)
=1/2(-5)
=-2.5
------------------------------
f(g(-4))
=f(-2.5)
=2(-2.5)+1
=-5+1
=-4
For this problem you need to understand that a linear graph is a straight line (Remember Rise/Run).
A continous function is <span>a </span>continuous function<span> is a </span>function <span>for which sufficiently small changes in the input result in arbitrarily small changes in the output, so we can already cross off that as an answer.
The Y-Intercept is the cost (in dollars), so this would be to monthly fee.
Now, onto the rate of change. T</span>he rate of change is <span>represented by the slope of a line. So the more classes you take the more it will increase. Therefore the cost for one class is the rate of change.
Lastly, the cost for one class is $10. It's not, since $10 is the intial fee to belong to a gym, so this is false.
Recap:
True
-The relationship is linear
-The y-intercept represents the monthly fee.
-The rate of change represents the cost for one class.
False
-The relationship represents a continuous function.
-The cost for one class is $10.
I hope I've helped you, have a great day!</span>
