Answer:
We conclude that the function remains constant over the interval [0, 2].
Step-by-step explanation:
We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.
From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.
In other words, the value of y remains constant from x = 0 to x = 2.
i.e.
at x = 0, y = 5
at x = 1, y = 5
at x = 2, y = 5
Therefore, we conclude that the function remains constant over the interval [0, 2].
The graph (by some miracle) has been uploaded for you. It is just about the first time I've done this sort of thing, and I've answered nearly 800 questions.
The first thing you have to do is study the graph. The two functions are
f(x) = 4^x That's the curved graph. (in red)
g(x) = x + 4. That's the straight line. (in blue)
You know that the first one is not a linear relationship because the x values go from integer values -2 to 2 (including 0). The y values are a bit different. They go from 1/16 to 16 with those integer values. So you could try y = 4^(-x). It doesn't work, but you could try it. It gives the table numbers for y in the reverse order that the table you are given goes. For x you get -2 -1 0 1 2 and for y you would get 16 4 1 1/4 1/16.
You could try y = (1/4)^x
For this try, you would get x = -2 -1 0 1 2 and for y = 16 4 0 1/4 and 1/16
but that doesn't work either.
You could try until you get y = 4^x which does work.
g(x) is a lot easier to deal with. It looks better behaved. as x goes up, so does y. You will find that the y values obey y = x + 4. You could try other lines, but that one works. Many times it's just a guess
Answer:
m=3 and m=-3
Step-by-step explanation:
m^2 = 9
m = square root of 9
Since a positive or negative number squared produce a positive value, the answer is either positive or negative.
Did you ever get the answer?
Answer:
6 hours
Step-by-step explanation:
6.50 - 2.00 = 4.50
4.50 ÷ 0.75 = 6