A relation is (also) a function if every input x is mapped to a unique output y.
In terms of graphical representation, this implies that a graph represents a function if there doesn't exist a vertical line that intersects the graph more than once. So:
- The first graph is exactly a vertical line, so it's not a function.
- The second graph represents the function y=x, so it's a function: you can see that every possible vertical line crosses the graph only once.
- The third graph is not a function, because you can draw vertical lines that cross the graph twice.
- Similarly, in the fourth graph you can draw vertical lines that cross the graph twice
- The fifth graph is a function, because every vertical line crosses the graph once
- The last graph is a function, although discontinuous, for the same reason.
Answer: (a) x + 2y = -1 and 3x + y = 1
<u>Step-by-step explanation:</u>
I am not sure what the purpose was for the colored lines but I included them on the graph (below).
Answer:
C
Step-by-step explanation:
NEGATIVE TIMES POSITIVE WILL GIVE A NEGATIVE PRODUCT
96÷120 =0.8 ⇒0.8 ×100 =80 % :))
Answer:
The second term defines the value that will be depreciated by the rate of 22 units for m months.
Step-by-step explanation:
Given is :
The value of the gadget after 'm' months = 2020 - 22m
This expression tells us that, each month Meghan's gadget's price falls by 22 units from the original value.
The original value of the gadget is 2020 units.
Therefore, the constant term (2020 )of the expression represents the original value of the gadget,
And the second term defines the value that will be depreciated by the rate of 22 units for m months. And m defines the number of months Meghan will keep the gadget.