Answer:
r(s(-2)) = -2
Step-by-step explanation:
We are given these following functions:
Find the value of r(s (-2)).
First we find the composition of r and s functions. It is:
At x = -2
r(s(-2)) = -2
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
Draw the shape by drawing dots at the co-ordinates.
Connect them in order, so if it's KLMN, connect K to L then to M then N.
Then, pick one of the points, I'd choose K, then move that dot 3 to the right, then move it 4 up. Do the same for all of the letters.
