In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
Sample Space = {HH,HT,TH,TT} - Hope this helps!
Answer:
0.6
Step-by-step explanation:
You count how many pieces there are in total, and then you subtract the blue pieces from the total which is 3. Then you need to convert 5/8 into a decimal.
The answers are A,C,D. Hope this helps.
