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.
Step-by-step explanation:
We know that
cos 2x = 2cos²x - 1
So we have
Substituting
The person who explained the answer because you can see how they got the answer or the evidence they used to get the answer
Answer:
tex]8^{4}[/tex]
Step-by-step explanation:
8^2 = 8 x 8 = 64
8^3 = 8 x 8 x 8 = 512
8^4 = 8 x 8 x 8 x 8 = 4096
So first of all you would add the two together
so it would be m23.
138÷23 would equal 6,
therefore m would equal six
to check it substitute m for 6 and you should get 138!