Answer:
2
Step-by-step explanation:
Answer:
B. -6 does not belong to the domain but belongs to the range of f(x).
Step-by-step explanation:
We have the function,
.
So, the domain of the function is obtained when
i.e. 
That is, the domain is {x | x≥ 7}.
Now as we have,
→
→
→
→
.
That is, 
Thus, the range of the function f(x) is {y | y≤ 1}.
Thus, we can see that,
-6 does not belong to the domain but belongs to the range of f(x).
Answer:The function is nonlinear
Step-by-step explanation:
Given:
The function is:

The graphs of functions
and
.
To find:
The function
.
Solution:
We have,

The function
is vertically compresses to get the graph of the function
. So, the function
is:

...(i)
From the given graph it is clear that the graph of the function
passes through the point (3,3). So, putting
and
in the above function, we get




Putting
in (i), we get
Therefore, the correct option is D.
Jackie wants to justify that f(x) = 2x - 6 is a linear function.
Lets assume some values for x and find out f(x)
We make a table with x values 1, 2, 3, 4 and find f(x)
To find f(x) we plug in x value in the given equation
x f(x)
1 2(1)-6 = -4
2 2(2)-6 = -2
3 2(3)-6 = 0
14 2(4)-6 =2
for f(x) we got -4, -2, 0 , 2
The value of f(x) is increasing by 2. There is a constant increase in f(x)
When there is a constant rate of increase then it is a linear function
constant rate of increase that is slope = 2. Hence f(x) = 2x -6 is a linear function.