Answer:
2 is the correct option.
Step-by-step explanation:
We have the equation .
We will plot the graphs of the function and
.
Then, the intersection points of both the graph will be the solution of the equation .
From the graphs, we see that,
The intersection points of the graphs are (0,1) and (2.337,10.347).
The solution of the equation is the value of 'x' co-ordinate where they intersect.
So, we get, x = 2 is the correct option.
Answer:
NOT PROPORTIONAL
Step-by-step explanation:
The given two fractions are: and
.
Proportional fractions are those which have the same value when to reduced to the simplest form.
Consider two fractions and
.
We say they are proportional if .
Or, if then we can say the fractions are proportional.
Here the fractions are: and
.
LHS: 5 X 10 = 50.
RHS: 8 X 8 = 64.
Clearly they are not equal. So, we can say these two fractions are not proportional.
Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.