This is a function, the relationship is that one output exists for every input, and it passes the vertical line test.
It is linear because it passes the V.L.T. and has an average rate of change that can be calculated
It is a mathematical model because a domain and range can be calculated
D [93,13]
R [0,7]
Part B
This is not a function, there are two outputs for every input. Spending is being calculated by digital spending and non-digitial (the two outputs)
Because of the two outputs this is definitely not a function
Hey Ron,
ReplyDeletePlease correct if I am wrong, but for Part A does a linear function need to have a constant average rate of change? Because I do agree with you that it is a function and does pass the vertical line test, but I am thinking that it may just be a non linear function seeing as the rate of album sales fluctuates unreasonably year to year.
good observation, frank!
Deleteron,
ReplyDeleteyour first example does indeed represent a function. the function is not linear, though, because the rate of change is not constant at every interval. additionally, the definition for mathematical model is that a function's outputs are dependent on the inputs. this is not the case for this example.
for your second example, you actually have two separate relationships, both of which ARE functions. digital is a function of time and non digital is a function of time. two functions represented on the same grid. please note the difference!
professor little