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).
9514 1404 393
Answer:
Step-by-step explanation:
The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.
a² = 7² -4²
a² = 49 -16 = 33
a = √33
Answer:
just add 76+44=120
Step-by-step explanation:
