Find the domain of each square root function. Then use the domain to match the radical function with it’s graph. The graphs are labeled (a) through (f) and are shown in [-10,10,1] by [-10,10,1] viewing rectangles.
f(x)=~(8-2x)
a)
b)
c)
d)
e)
f)
Which of the following ordered pairs is a solution of the given system of linear equation of -5x+4y=9
x-4y=11
A. (–4, –5)
B. (5, –4)
C. (4, 5)
D. (–5, –4)
To find the domain of a square root function, we need to consider the values that make the expression inside the square root non-negative. In other words, we need to find the values of x for which 8-2x is greater than or equal to zero.
Let's solve this inequality:
8 - 2x ≥ 0
First, subtract 8 from both sides:
-2x ≥ -8
Next, divide both sides by -2. Since we are dividing by a negative number, we need to reverse the inequality sign:
x ≤ 4
So, the domain of the function f(x) = √(8-2x) is x ≤ 4.
Now, let's match the radical function with its graph using the given viewing rectangles.
(a) The graph of f(x) = √(8-2x) corresponds to this viewing rectangle.
(b)
(c)
(d)
(e)
(f)
Without the specific details of the viewing rectangles or further information about the graphs, it is not possible to accurately match the radical function with its graph beyond the first option.