The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5
1 answer:
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1. A table can be a helpful thing to model the rate of change. It can be used by making an x and y column and listing each number underneath it like so:
x y
1 2
2 4
And so on. The rate of change for that table would be every time the x axis goes up 1, the y axis goes up 2.
2. To find the rate of change using a graph, look at the line on the graph. You can make a small triangle that starts on the line and then comes out and re-connects into the line. Like so - (look at attached picture). And as you go, you count how many you go down or up and how many you go left or right.
*Hopefully this was helpful, sorry if t wasn't!
xx, Avery
x y
1 2
2 4
And so on. The rate of change for that table would be every time the x axis goes up 1, the y axis goes up 2.
2. To find the rate of change using a graph, look at the line on the graph. You can make a small triangle that starts on the line and then comes out and re-connects into the line. Like so - (look at attached picture). And as you go, you count how many you go down or up and how many you go left or right.
*Hopefully this was helpful, sorry if t wasn't!
xx, Avery
Answer:
The correct option is 4.
Step-by-step explanation:
The given function is
Where f(x) is height of the ball and x is the distance.
It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.
Factorize the given function.
Put f(x)=0 to find the x intercepts.
Equate each factor equal to 0.
Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.
Distance cannot be negative, therefore the reasonable domain must be positive.
Therefore the reasonable domain is and option 4 is correct.
